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WISKUNDIGE GELETTERDHEID
NOG OEFENINGE
Koers, verhouding en eweredigheid : antwoorde..

MATHEMATICAL LITERACY
MORE EXERCISES
Rate, ratio and proportion : answers.

Antwoorde / Answers  1

$$\hspace*{6 mm}\mathrm{1.1\kern2mmAs\ R7\ verdeel\ word\ in\ die\ }$$ $$\hspace*{13 mm}\mathrm{verhouding\ 3:4\ is\ een\ deel\ R3 }$$ $$\hspace*{13 mm}\mathrm{en\ die\ ander\ deel\ R4 }$$

$$\hspace*{13 mm}\mathrm{As\ R1\ verdeel\ word\ in\ die }$$ $$\hspace*{13 mm}\mathrm{verhouding\ 3:4\ is\ een\ deel }$$ $$\hspace*{13 mm}\mathrm{R\frac{3}{3+4}\ en\ ander\ deel\ R\frac{4}{3+4} }$$
$$\hspace*{13 mm}\mathrm{As\ R35\ verdeel\ word\ in\ die }$$

$$\hspace*{13 mm}\mathrm{verhouding\ 3:4\ is\ een\ deel }$$
$$\hspace*{13 mm}\mathrm{R\frac{3}{3+4}\ x\ \frac{35}{1}\ en\ die\ ander }$$
$$\hspace*{13 mm}\mathrm{deel\ R\frac{4}{3+4}\ x\ \frac{35}{1} }$$
$$\hspace*{13 mm}\mathrm{Eerste\ deel\ is\ R15\ en\ die \kern20mm }$$ $$\hspace*{13 mm}\mathrm{ander\ deel\ is\ R20 }$$
$$\hspace*{13 mm}\mathrm{[Toets\ \bold :\ R15\ +\ R20\ =\ R35] }$$
$$\hspace*{35 mm}\mathrm{\bold O \bold F }$$
$$\hspace*{13 mm}\mathrm{Een\ deel\ is\ \frac{3}{3+4}\ x\ R35\ =\ R15 }$$

$$\hspace*{13 mm}\mathrm{ander\ deel\ is\ \frac{4}{3+4}\ x\ R35\ =\ R20 }$$

$$\hspace*{13 mm}\mathrm{[Toets\ \bold :\ R15\ +\ R20\ =\ R35] }$$

$$\hspace*{6 mm}\mathrm{1.2\kern2mmVerdeel\ (2+3+4)\ lekkers\ in\ die }$$ $$\hspace*{13 mm}\mathrm{verhouding\ 2:3:4 }$$ $$\hspace*{13 mm}\mathrm{9\ lekkers\ word\ verdeel\ 2\ en\ 3\ en\ 4 }$$

$$\hspace*{13 mm}\mathrm{1\ lekker\ word\ verdeel\ \frac{2}{9}\ en\ \frac{3}{9}\ en\ \frac{4}{9} \kern40mm }$$ $$\hspace*{13 mm}\mathrm{45\ lekkers\ word\ verdeel\ \frac{2}{9}\ x\ 45\ en \kern40mm }$$ $$\hspace*{13 mm}\mathrm{\frac{3}{9}\ x\ 45\ en\ \frac{4}{9}\ x\ 45 \kern40mm }$$ $$\hspace*{13 mm}\mathrm{Dit\ is\ 10\ en\ 15\ en\ 20 \kern40mm }$$ $$\hspace*{13 mm}\mathrm{[Toets\ \bold :\ 10\ +\ 15\ +\ 20\ =\ 45\ ] \kern40mm }$$

$$\hspace*{36 mm}\mathrm{\bold O \bold F \kern40mm }$$
$$\hspace*{13 mm}\mathrm{Die\ dele\ is\ \frac{2}{2+3+4}\ x\ 45\ ; \kern40mm }$$

$$\hspace*{13 mm}\mathrm{\frac{3}{2+3+4}\ x\ 45\ en\ \frac{4}{2+3+4}\ x\ 45 \kern40mm }$$

$$\hspace*{13 mm}\mathrm{Dit\ is\ 10\ en\ 15\ en\ 20 \kern40mm }$$ $$\hspace*{13 mm}\mathrm{[Toets\ \bold :\ 10\ +\ 15\ +\ 20\ =\ 45\ ] \kern40mm }$$

$$\hspace*{6 mm}\mathrm{1.3\kern2mmVerdeel\ R34\ 500\ in\ die\ verhouding }$$ $$\hspace*{13 mm}\mathrm{2:8:15 \kern50mm }$$ $$\hspace*{13 mm}\mathrm{Die\ dele\ is\ \bold : }$$

$$\hspace*{13 mm}\mathrm{Eerste\ deel\ =\ \frac{2}{25}\ x\ R34\ 500 \kern40mm }$$

$$\hspace*{33 mm}\mathrm{= R2\ 760 \kern40mm }$$
$$\hspace*{13 mm}\mathrm{Tweede\ deel\ =\ \frac{8}{25}\ x\ R34\ 500 \kern40mm }$$

$$\hspace*{36 mm}\mathrm{=\ R11\ 040 \kern40mm }$$
$$\hspace*{13 mm}\mathrm{Derde\ deel\ =\ \frac{15}{25}\ x\ R34\ 500 \kern40mm }$$

$$\hspace*{33 mm}\mathrm{= \ R20\ 700 \kern40mm }$$
$$\hspace*{13 mm}\mathrm{[Toets\ \bold :\ R2\ 760\ +\ R11\ 040\ +\ \kern40mm }$$ $$\hspace*{30 mm}\mathrm{R20\ 700\ =\ R34\ 500] \kern40mm }$$

$$\hspace*{6 mm}\mathrm{1.1\kern2mmIf\ R7\ is\ divided\ in\ the\ proportion }$$ $$\hspace*{13 mm}\mathrm{3:4\ one\ part\ is\ R3 \kern30mm }$$ $$\hspace*{13 mm}\mathrm{and\ the\ oher\ part\ R4 }$$

$$\hspace*{13 mm}\mathrm{If\ R1\ is\ divided\ in\ the\ proportion \kern40mm }$$ $$\hspace*{13 mm}\mathrm{3:4\ one\ part\ is\ R\frac{3}{3+4} \kern30mm }$$ $$\hspace*{13 mm}\mathrm{and\ the\ other\ part\ R\frac{4}{3+4} }$$
$$\hspace*{13 mm}\mathrm{If\ R35\ is\ divided\ in\ the\ proportion }$$

$$\hspace*{13 mm}\mathrm{3:4\ one\ part\ is\ R\frac{3}{3+4}\ x\ \frac{35}{1} }$$

$$\hspace*{13 mm}\mathrm{and\ the\ other\ part\ is\ R\frac{4}{3+4}\ x\ \frac{35}{1} }$$

$$\hspace*{13 mm}\mathrm{First\ part\ is\ R15\ and\ the \kern20mm }$$ $$\hspace*{13 mm}\mathrm{other\ part\ is\ R20 }$$
$$\hspace*{13 mm}\mathrm{[Test\ \bold :\ R15\ +\ R20\ =\ R35] }$$
$$\hspace*{35 mm}\mathrm{\bold O \bold R }$$
$$\hspace*{13 mm}\mathrm{One\ part\ is\ \frac{3}{3+4}\ x\ R35\ =\ R15 }$$

$$\hspace*{13 mm}\mathrm{the\ other\ is\ \frac{4}{3+4}\ x\ R35\ =\ R20 }$$

$$\hspace*{13 mm}\mathrm{[Toets\ \bold :\ R15\ +\ R20\ =\ R35] }$$

$$\hspace*{6 mm}\mathrm{1.2\kern2mmDivide\ (2+3+4)\ sweets\ in\ the }$$ $$\hspace*{13 mm}\mathrm{proportion\ 2:3:4 }$$ $$\hspace*{13 mm}\mathrm{9\ sweets\ are\ divided\ 2\ and\ 3\ and\ 4 }$$

$$\hspace*{13 mm}\mathrm{1\ sweet\ is\ divided\ \frac{2}{9}\ and\ \frac{3}{9}\ and\ \frac{4}{9} \kern40mm }$$ $$\hspace*{13 mm}\mathrm{45\ sweets\ are\ divided\ \frac{2}{9}\ x\ 45\ and \kern40mm }$$ $$\hspace*{13 mm}\mathrm{\frac{3}{9}\ x\ 45\ and\ \frac{4}{9}\ x\ 45 \kern40mm }$$ $$\hspace*{13 mm}\mathrm{That\ is\ 10\ and\ 15\ and\ 20 \kern40mm }$$ $$\hspace*{13 mm}\mathrm{[Test\ \bold :\ 10\ +\ 15\ +\ 20\ =\ 45\ ] \kern40mm }$$

$$\hspace*{36 mm}\mathrm{\bold O \bold R \kern40mm }$$
$$\hspace*{13 mm}\mathrm{The\ parts\ are\ \frac{2}{2+3+4}\ x\ 45\ ; \kern40mm }$$

$$\hspace*{13 mm}\mathrm{\frac{3}{2+3+4}\ x\ 45\ and\ \frac{4}{2+3+4}\ x\ 45 \kern40mm }$$

$$\hspace*{13 mm}\mathrm{That\ is\ 10\ and\ 15\ and\ 20 \kern40mm }$$ $$\hspace*{13 mm}\mathrm{[Test\ \bold :\ 10\ +\ 15\ +\ 20\ =\ 45\ ] \kern40mm }$$

$$\hspace*{6 mm}\mathrm{1.3\kern2mmDivide\ R34\ 500\ in\ the\ proportiom }$$ $$\hspace*{13 mm}\mathrm{2:8:15 \kern50mm }$$ $$\hspace*{13 mm}\mathrm{Thee\ parts\ are\ \bold : }$$

$$\hspace*{13 mm}\mathrm{First\ part\ =\ \frac{2}{25}\ x\ R34\ 500 \kern40mm }$$

$$\hspace*{29 mm}\mathrm{=\ R2\ 760 \kern40mm }$$
$$\hspace*{13 mm}\mathrm{Second\ part\ =\ \frac{8}{25}\ x\ R34\ 500 \kern40mm }$$

$$\hspace*{35 mm}\mathrm{=\ R11\ 040 \kern40mm }$$
$$\hspace*{13 mm}\mathrm{Third\ part\ =\ \frac{15}{25}\ x\ R34\ 500\ = \ R20\ 700 \kern40mm }$$

$$\hspace*{30 mm}\mathrm{= \ R20\ 700 \kern40mm }$$
$$\hspace*{13 mm}\mathrm{[Test\ \bold :\ R2\ 760\ +\ R11\ 040\ +\ \kern40mm }$$ $$\hspace*{30 mm}\mathrm{R20\ 700\ =\ R34\ 500] \kern40mm }$$

Antwoorde / Answers  2

$$\hspace*{6 mm}\mathrm{2.1\kern2mm'n\ Lengte\ van\ 4\ m\ word\ 7\ m \kern20mm }$$ $$\hspace*{13 mm}\mathrm{'n\ Lengte\ van\ 1\ m\ word\ \frac{7}{4}\ m }$$

$$\hspace*{13 mm}\mathrm{'n\ Lengte\ van\ 21,6\ m\ bword\ \kern20mm }$$
$$\hspace*{34 mm}\mathrm{\frac{7}{4}\ x\ 21,6\ =\ 37,8\ m }$$

$$\hspace*{36 mm}\mathrm{\bold O\bold F \kern20mm }$$
$$\hspace*{13 mm}\mathrm{Increased\ length\ =\ \frac{7}{4}\ x\ 21,6\ m }$$
$$\hspace*{42 mm}\mathrm{=\ 37,8\ m }$$

$$\hspace*{6 mm}\mathrm{2.2\kern2mm'n\ Wins\ van\ R4\ word\ R5 \kern20mm }$$ $$\hspace*{13 mm}\mathrm{'n\ Wins\ van\ R1\ word\ R\frac{5}{4} }$$

$$\hspace*{13 mm}\mathrm{'n\ Wins\ van\ R3\ 672\ word\ \kern20mm }$$
$$\hspace*{30 mm}\mathrm{R\frac{5}{4}\ x\ 3\ 672\ =\ R4\ 590 }$$

$$\hspace*{36 mm}\mathrm{\bold O\bold F \kern20mm }$$
$$\hspace*{13 mm}\mathrm{Vermeerderde\ wins\ =\ R\frac{5}{4}\ x\ 3\ 672 }$$
$$\hspace*{40 mm}\mathrm{=\ R4\ 590 }$$

$$\hspace*{6 mm}\mathrm{2.3\kern2mm'n\ Massa\ van\ 7\ kg\ word\ 5\ kg \kern20mm }$$ $$\hspace*{13 mm}\mathrm{'n\ Massa\ van\ 1\ kg\ word\ \frac{5}{7}\ kg }$$

$$\hspace*{13 mm}\mathrm{'n\ Mass\ van\ 91,2\ kg\ word\ \kern20mm }$$
$$\hspace*{26 mm}\mathrm{\frac{5}{7}\ x\ 91,2\ kg\ =\ 65,143\ kg }$$

$$\hspace*{36 mm}\mathrm{\bold O\bold F \kern20mm }$$
$$\hspace*{13 mm}\mathrm{Verminderde\ massa\ =\ \frac{5}{7}\ x\ 91,2\ kg }$$
$$\hspace*{47 mm}\mathrm{=\ 63,143\ kg }$$

$$\hspace*{6 mm}\mathrm{2.1\kern2mmA\ length\ of\ 4\ m\ becomes\ 7\ m \kern20mm }$$ $$\hspace*{13 mm}\mathrm{A\ length\ of\ 1\ m\ becomes\ \frac{7}{4}\ m }$$

$$\hspace*{13 mm}\mathrm{A\ length\ of\ 21,6\ m\ becomes\ \kern20mm }$$
$$\hspace*{34 mm}\mathrm{\frac{7}{4}\ x\ 21,6\ =\ 37,8\ m }$$

$$\hspace*{36 mm}\mathrm{\bold O\bold R \kern20mm }$$
$$\hspace*{13 mm}\mathrm{Increased\ length\ =\ \frac{7}{4}\ x\ 21,6\ m }$$
$$\hspace*{42 mm}\mathrm{=\ 37,8\ m }$$

$$\hspace*{6 mm}\mathrm{2.2\kern2mmA\ profit\ of\ R4\ becomes\ R5 \kern20mm }$$ $$\hspace*{13 mm}\mathrm{A\ profit\ of\ R1\ becomes\ R\frac{5}{4} }$$

$$\hspace*{13 mm}\mathrm{A\ profit\ of\ R3\ 672\ becomes\ \kern20mm }$$
$$\hspace*{30 mm}\mathrm{R\frac{5}{4}\ x\ 3\ 672\ =\ R4\ 590 }$$

$$\hspace*{36 mm}\mathrm{\bold O\bold R \kern20mm }$$
$$\hspace*{13 mm}\mathrm{Increased\ profit\ =\ R\frac{5}{4}\ x\ 3\ 672 }$$
$$\hspace*{40 mm}\mathrm{=\ R4\ 590 }$$

$$\hspace*{6 mm}\mathrm{2.3\kern2mmA\ mass\ of\ 7\ kg\ becomes\ 5\ kg \kern20mm }$$ $$\hspace*{13 mm}\mathrm{A\ mass\ of\ 1\ kg\ becomes\ \frac{5}{7}\ kg }$$

$$\hspace*{13 mm}\mathrm{A\ mass\ of\ 91,2\ kg\ becomes\ \kern20mm }$$
$$\hspace*{26 mm}\mathrm{\frac{5}{7}\ x\ 91,2\ kg\ =\ 65,143\ kg }$$

$$\hspace*{36 mm}\mathrm{\bold O\bold R \kern20mm }$$
$$\hspace*{13 mm}\mathrm{Decreased\ mass\ =\ \frac{5}{7}\ x\ 91,2\ kg }$$
$$\hspace*{42 mm}\mathrm{=\ 63,143\ kg }$$

Antwoorde / Answers  3

$$\hspace*{6 mm}\mathrm{3.1\kern2mm5\ km\ in\ 25\ minute }$$
$$\hspace*{13 mm}\mathrm{1\ km\ in\ \frac{25}{5}\ minute }$$

$$\hspace*{13 mm}\mathrm{2\ km\ in\ \frac{25}{5}\ x\ 2 minute }$$
$$\hspace*{32 mm}\mathrm{=\ 10\ minute }$$
$$\hspace*{32 mm}\mathrm{\bold O\bold F }$$
$$\hspace*{13 mm}\mathrm{5\ km\ in\ 25\ minute }$$
$$\hspace*{13 mm}\mathrm{2\ km\ in\ \frac{25}{5}\ x\ 2 minute }$$
$$\hspace*{32 mm}\mathrm{=\ 10\ minute }$$

$$\hspace*{6 mm}\mathrm{3.2\kern2mmIn\ 25\ minute\ draf\ hy\ 5\ km }$$
$$\hspace*{13 mm}\mathrm{In\ 1\ minuut\ draf\ hy\ \frac{5}{25}\ km }$$

$$\hspace*{13 mm}\mathrm{In\ 65\ minute\ draf\ hy\ \frac{5}{25}\ x\ 65\ km }$$
$$\hspace*{52 mm}\mathrm{=\ 13\ km }$$
$$\hspace*{36 mm}\mathrm{\bold O\bold F }$$
$$\hspace*{13 mm}\mathrm{In\ 25\ minute\ draf\ hy\ 5\ km }$$
$$\hspace*{13 mm}\mathrm{In\ 65\ minute\ draf\ hy\ \frac{5}{25}\ x\ 65\ km }$$
$$\hspace*{52 mm}\mathrm{=\ 13\ km }$$

$$\hspace*{6 mm}\mathrm{3.1\kern2mm5\ km\ in\ 25\ minutes }$$
$$\hspace*{13 mm}\mathrm{1\ km\ in\ \frac{25}{5}\ minutes }$$

$$\hspace*{13 mm}\mathrm{2\ km\ in\ \frac{25}{5}\ x\ 2 minutes }$$
$$\hspace*{32 mm}\mathrm{=\ 10\ minutes }$$
$$\hspace*{36 mm}\mathrm{\bold O \bold R }$$
$$\hspace*{13 mm}\mathrm{5\ km\ in\ 25\ minutes }$$
$$\hspace*{13 mm}\mathrm{2\ km\ in\ \frac{25}{5}\ x\ 2 minutes }$$
$$\hspace*{32 mm}\mathrm{=\ 10\ minutes }$$

$$\hspace*{6 mm}\mathrm{3.2\kern2mmIn\ 25\ minutes\ he\ jogs\ 5\ km }$$
$$\hspace*{13 mm}\mathrm{In\ 1\ minute\ he\ jogs\ \frac{5}{25}\ km }$$

$$\hspace*{13 mm}\mathrm{In\ 65\ minutes\ he\ jogs\ \frac{5}{25}\ x\ 65\ km }$$
$$\hspace*{52 mm}\mathrm{=\ 13\ km }$$
$$\hspace*{36 mm}\mathrm{\bold O\bold R }$$
$$\hspace*{13 mm}\mathrm{In\ 25\ minutes\ he\ jogs\ 5\ km }$$
$$\hspace*{13 mm}\mathrm{In\ 65\ minutes\ he\ jogs\ \frac{5}{25}\ x\ 65\ km }$$
$$\hspace*{52 mm}\mathrm{=\ 13\ km }$$

Antwoorde / Answers  4

$$\hspace*{6 mm}\mathrm{4.1\kern2mmMaandag\ tot\ Vrydag\ is\ 5\ dae }$$
$$\hspace*{13 mm}\mathrm{1\ Week\ =\ 5\ dae }$$ $$\hspace*{13 mm}\mathrm{1\ Week\ =\ 5\ dae\ teen\ 8\ uur\ per\ dag }$$
$$\hspace*{27 mm}\mathrm{=\ 40\ uur }$$
$$\hspace*{13 mm}\mathrm{Weeklikse\ loon\ =\ 10\ uur\ x\ R30 \kern20mm }$$ $$\hspace*{39 mm}\mathrm{=\ R1\ 200 }$$

$$\hspace*{6 mm}\mathrm{4.2\kern2mmSy\ verdien\ R30\ in\ 1\ uur }$$
$$\hspace*{13 mm}\mathrm{Sy\ verdien\ R1\ 170\ in\ \frac{1\ 170}{30}\ uur }$$
$$\hspace*{44 mm}\mathrm{i.e.\ 39\ uur }$$

$$\hspace*{6 mm}\mathrm{4.3\kern2mmVir\ 1\ uur\ verdien\ sy\ R30 }$$
$$\hspace*{13 mm}\mathrm{Vir\ 29\ hours\ verdien\ sy\ R30\ x\ 29 }$$ $$\hspace*{55 mm}\mathrm{d.i.\ R870 }$$

$$\hspace*{6 mm}\mathrm{4.1\kern2mmMonday\ to\ Friday\ is\ 5\ days }$$
$$\hspace*{13 mm}\mathrm{1\ Week\ =\ 5\ days }$$ $$\hspace*{13 mm}\mathrm{1\ Week\ =\ 5\ days\ at\ 8\ hours\ per\ day }$$
$$\hspace*{28 mm}\mathrm{=\ 40\ hours }$$
$$\hspace*{13 mm}\mathrm{Weekly\ wage\ =\ 40\ hours\ x\ R30 \kern20mm }$$ $$\hspace*{37 mm}\mathrm{=\ R1\ 200 }$$

$$\hspace*{6 mm}\mathrm{4.2\kern2mmShe\ earns\ R30\ in\ 1\ hour }$$
$$\hspace*{13 mm}\mathrm{She\ earns\ R1\ 170\ in\ \frac{1\ 170}{30}\ hours }$$
$$\hspace*{44 mm}\mathrm{i.e.\ 39\ hours }$$

$$\hspace*{6 mm}\mathrm{4.3\kern2mmFor\ 1\ hour\ she\ receives\ R30 }$$
$$\hspace*{13 mm}\mathrm{For\ 29\ hours\ she\ receives\ R30\ x\ 29 }$$ $$\hspace*{55 mm}\mathrm{i.e.\ R870 }$$

Antwoorde / Answers  5

$$\hspace*{6 mm}\mathrm{5.1\kern2mmMet\ 47,32\ \ell\ petrol\ ry\ hy\ 613\ km }$$
$$\hspace*{13 mm}\mathrm{Met\ 1\ \ell\ petrol\ ry\ hy\ \frac{613}{47,32}\ km }$$ $$\hspace*{43 mm}\mathrm{d.i.\ 12,85\ km }$$
$$\hspace*{13 mm}\mathrm{Brandstofverbruik\ is\ 12,95\ km/\ell }$$

$$\hspace*{13 mm}\mathrm{Vir\ 613\ km\ word\ 47,32\ \ell\ verbruik }$$
$$\hspace*{13 mm}\mathrm{Vir\ 1\ km\ word\ \frac{47,32}{613}\ \ell\ verbruik }$$

$$\hspace*{13 mm}\mathrm{Vir\ 100\ km\ word\ \frac{47,32}{613}\ x\ 100 \ell\ }$$
$$\hspace*{43 mm}\mathrm{d.i.\ 7,72\ \ell\ }$$
$$\hspace*{13 mm}\mathrm{Brandstofverbruik\ is\ 7,72\ \ell/km }$$

$$\hspace*{6 mm}\mathrm{5.2\kern2mmMet\ 47,32\ \ell\ petrol\ ry\ hy\ 613\ km }$$
$$\hspace*{13 mm}\mathrm{Met\ 1\ \ell\ petrol\ ry\ hy\ \frac{613}{47,32}\ km }$$

$$\hspace*{13 mm}\mathrm{Met\ 21,4\ \ell\ ry\ hy\ \frac{613}{47,32}\ x\ 21,4 km }$$ $$\hspace*{43 mm}\mathrm{d.i.\ 277,22\ km }$$

$$\hspace*{36 mm}\mathrm{\bold O \bold F }$$
$$\hspace*{13 mm}\mathrm{Met\ brandstofverbruik\ \bold:\ 12,95\ km/\ell }$$ $$\hspace*{13 mm}\mathrm{Met\ 1\ \ell\ ry\ hy\ 12,95\ km }$$ $$\hspace*{13 mm}\mathrm{Met\ 21,4\ \ell\ ry\ hy\ 12,95\ x\ 21,4 km }$$ $$\hspace*{43 mm}\mathrm{d.i.\ 277,13\ km }$$

$$\hspace*{6 mm}\mathrm{5.3\kern2mmVir\ 613\ km\ word\ 47,32\ \ell\ verbruik }$$
$$\hspace*{13 mm}\mathrm{Vir\ 1\ km\ word\ \frac{47,32}{613}\ \ell\ verbruik }$$

$$\hspace*{13 mm}\mathrm{Vir\ 430\ km\ word\ \frac{47,32}{613}\ x\ 430 \ell }$$

$$\hspace*{43 mm}\mathrm{d.i.\ 33,19\ \ell }$$
$$\hspace*{36 mm}\mathrm{\bold O \bold F }$$
$$\hspace*{13 mm}\mathrm{Met\ brandstofverbruik\ \bold:\ 7,72\ \ell/km }$$ $$\hspace*{13 mm}\mathrm{Vir\ 100\ km\ word\ 7,72\ \ell\ verbruik }$$

$$\hspace*{13 mm}\mathrm{Vir\ 1\ km\ word\ \frac{7,72}{100}\ \ell\ verbruik }$$

$$\hspace*{13 mm}\mathrm{Vir\ 430\ km\ word\ \frac{7,72}{100}\ x\ 430 \ell\ }$$ $$\hspace*{43 mm}\mathrm{d.i.\ 33,20\ \ell }$$

$$\hspace*{6 mm}\mathrm{5.1\kern2mmUsing\ 47,32\ \ell\ petrol\ it\ tavels\ 613\ km }$$
$$\hspace*{13 mm}\mathrm{Using\ 1\ liter\ \ell\ it\ travels\ \frac{613}{47,32}\ km }$$ $$\hspace*{43 mm}\mathrm{i.e.\ 12,85\ km }$$
$$\hspace*{13 mm}\mathrm{Fuel\ consumption\ is\ 12,95\ km/\ell }$$

$$\hspace*{13 mm}\mathrm{Travelling\ 613\ km\ 47,32\ \ell\ is\ used }$$
$$\hspace*{13 mm}\mathrm{Travelling\ 1\ km\ \frac{47,32}{613}\ \ell\ is\ used }$$

$$\hspace*{13 mm}\mathrm{Travelling\ 100\ km\ \frac{47,32}{613}\ x\ 100 \ell\ is\ used }$$
$$\hspace*{43 mm}\mathrm{i.e.\ 7,72\ \ell\ }$$
$$\hspace*{13 mm}\mathrm{Fuel\ consumption\ 7,72\ \ell/km }$$

$$\hspace*{6 mm}\mathrm{5.2\kern2mmUsing\ 47,32\ \ell\ petrol\ it\ tavels\ 613\ km }$$
$$\hspace*{13 mm}\mathrm{Using\ 1\ liter\ \ell\ it\ travels\ \frac{613}{47,32}\ km }$$

$$\hspace*{13 mm}\mathrm{Using\ 21,4\ \ell\ it\ travels\ \frac{613}{47,32}\ x\ 21,4 km }$$ $$\hspace*{43 mm}\mathrm{i.e.\ 277,22\ km }$$

$$\hspace*{36 mm}\mathrm{\bold O \bold R }$$
$$\hspace*{13 mm}\mathrm{Use\ fuel\ consumption\ \bold:\ 12,95\ km/\ell }$$ $$\hspace*{13 mm}\mathrm{With\ 1\ \ell\ it\ travels\ 12,95\ km }$$ $$\hspace*{13 mm}\mathrm{With\ 21,4\ \ell\ it\ travels\ 12,95\ x\ 21,4 km }$$ $$\hspace*{43 mm}\mathrm{i.e.\ 277,13\ km }$$

$$\hspace*{6 mm}\mathrm{5.3\kern2mmDriving\ 613\ km\ the\ car\ uses\ 47,32\ \ell }$$
$$\hspace*{13 mm}\mathrm{Driving\ 1\ km\ the\ car\ uses\ \frac{47,32}{613}\ \ell }$$

$$\hspace*{13 mm}\mathrm{Driving\ 430\ km\ it\ uses\ \frac{47,32}{613}\ x\ 430 \ell }$$

$$\hspace*{43 mm}\mathrm{i.e.\ 33,19\ \ell }$$
$$\hspace*{36 mm}\mathrm{\bold O \bold R }$$
$$\hspace*{13 mm}\mathrm{Use\ fuel\ consumption\ \bold:\ 7,72\ \ell/km }$$ $$\hspace*{13 mm}\mathrm{Driving\ 100\ km\ the\ car\ uses\ 7,72\ \ell }$$

$$\hspace*{13 mm}\mathrm{Driving\ 1\ km\ the\ car\ uses\ \frac{7,72}{100}\ \ell }$$

$$\hspace*{13 mm}\mathrm{Driving\ 430\ km\ it\ uses\ \frac{7,72}{100}\ x\ 430 \ell }$$ $$\hspace*{43 mm}\mathrm{i.e.\ 33,20\ \ell }$$

Antwoorde / Answers  6

$$\hspace*{6 mm}\mathrm{6.1.1\kern2mmSkaal\ 1 \bold :\ 50 }$$
$$\hspace*{13 mm}\mathrm{1\ cm\ op\ plan\ is\ 50\ cm\ in\ gebou }$$ $$\hspace*{13 mm}\mathrm{2\ cm\ op\ plan\ is\ 50\ x\ 2\ cm\ in\ gebou }$$
$$\hspace*{32 mm}\mathrm{d.i.\ 100\ cm }$$

$$\hspace*{6 mm}\mathrm{6.1.2\kern2mmSkaal\ 1 \bold :\ 50 }$$
$$\hspace*{13 mm}\mathrm{1\ mm\ op\ plan\ is\ 50\ mm\ in\ gebou }$$ $$\hspace*{13 mm}\mathrm{35\ mm\ op\ plan\ is\ 50\ x\ 2\ mm\ binne }$$
$$\hspace*{32 mm}\mathrm{d.i.\ 1\ 750\ mm }$$

$$\hspace*{6 mm}\mathrm{6.1.3\kern2mmSkaal\ 1 \bold :\ 50 }$$
$$\hspace*{13 mm}\mathrm{1\ m\ op\ plan\ is\ 50\ m\ in\ gebou }$$ $$\hspace*{13 mm}\mathrm{0,35\ m\ op\ plan\ is\ 50\ x\ 0,35\ m\ binne }$$
$$\hspace*{32 mm}\mathrm{d.i.\ 17,50\ m }$$

$$\hspace*{6 mm}\mathrm{6.2.1\kern2mmSkaal\ 1 \bold :\ 50 }$$
$$\hspace*{13 mm}\mathrm{50\ m\ in\ gebou\ is\ 1\ m\ op\ plan }$$
$$\hspace*{13 mm}\mathrm{1\ m\ in\ gebou\ is\ \frac{1}{50}\ m\ op\ plan }$$

$$\hspace*{13 mm}\mathrm{35,4\ m\ binne\ is\ \frac{1}{50}\ x\ 35,4\ m\ op\ plan }$$
$$\hspace*{30 mm}\mathrm{d.i.\ 0,708\ m\ of\ 70,8\ cm }$$

$$\hspace*{6 mm}\mathrm{6.2.2\kern2mmSkaal\ 1 \bold :\ 50 }$$
$$\hspace*{13 mm}\mathrm{50\ m\ in\ gebou\ is\ 1\ m\ op\ plan }$$
$$\hspace*{13 mm}\mathrm{1\ m\ in\ gebou\ is\ \frac{1}{50}\ m\ op\ plan }$$

$$\hspace*{13 mm}\mathrm{0,4\ m\ binne\ is\ \frac{1}{50}\ x\ 0,4\ m\ op\ plan }$$
$$\hspace*{30 mm}\mathrm{d.i.\ 0,008\ m\ of\ 0,8\ cm }$$

$$\hspace*{6 mm}\mathrm{6.2.3\kern2mmSkaal\ 1 \bold :\ 50 }$$
$$\hspace*{13 mm}\mathrm{50\ m\ in\ gebou\ is\ 1\ m\ op\ plan }$$
$$\hspace*{13 mm}\mathrm{1\ m\ in\ gebou\ is\ \frac{1}{50}\ m\ op\ plan }$$

$$\hspace*{13 mm}\mathrm{1,26\ m\ binne\ is\ \frac{1}{50}\ x\ 1,26\ m\ op\ plan }$$
$$\hspace*{30 mm}\mathrm{d.i.\ 0,0252\ m\ of\ 2,52\ cm }$$

$$\hspace*{6 mm}\mathrm{6.1.1\kern2mmScale\ 1 \bold :\ 50 }$$
$$\hspace*{13 mm}\mathrm{1\ cm\ on\ plan\ is\ 50\ cm\ in\ building }$$ $$\hspace*{13 mm}\mathrm{2\ cm\ on\ plan\ is\ 50\ x\ 2\ cm\ in\ building }$$
$$\hspace*{32 mm}\mathrm{i.e.\ 100\ cm }$$

$$\hspace*{6 mm}\mathrm{6.1.2\kern2mmScale\ 1 \bold :\ 50 }$$
$$\hspace*{13 mm}\mathrm{1\ mm\ on\ plan\ is\ 50\ mm\ in\ building }$$ $$\hspace*{13 mm}\mathrm{35\ mm\ on\ plan\ is\ 50\ x\ 35\ mm\ inside }$$
$$\hspace*{32 mm}\mathrm{i.e.\ 1\ 750\ mm }$$

$$\hspace*{6 mm}\mathrm{6.1.3\kern2mmScale\ 1 \bold :\ 50 }$$
$$\hspace*{13 mm}\mathrm{1\ m\ on\ plan\ is\ 50\ mm\ in\ building }$$ $$\hspace*{13 mm}\mathrm{0,35\ m\ on\ plan\ is\ 50\ x\ 0,35\ mm\ inside }$$
$$\hspace*{36 mm}\mathrm{i.e.\ 17,50\ m }$$

$$\hspace*{6 mm}\mathrm{6.2.1\kern2mmScale\ 1 \bold :\ 50 }$$
$$\hspace*{13 mm}\mathrm{50\ m\ in\ building\ is\ 1\ m\ on\ plan }$$
$$\hspace*{13 mm}\mathrm{1\ m\ in\ building\ is\ \frac{1}{50}\ m\ on\ plan }$$

$$\hspace*{13 mm}\mathrm{35,4\ m\ inside\ is\ \frac{1}{50}\ x\ 35,4 m\ on\ plan }$$
$$\hspace*{30 mm}\mathrm{i.e.\ 0,708\ m\ or\ 70,8\ cm }$$

$$\hspace*{6 mm}\mathrm{6.2.2\kern2mmScale\ 1 \bold :\ 50 }$$
$$\hspace*{13 mm}\mathrm{50\ m\ in\ building\ is\ 1\ m\ on\ plan }$$
$$\hspace*{13 mm}\mathrm{1\ m\ in\ building\ is\ \frac{1}{50}\ m\ on\ plan }$$

$$\hspace*{13 mm}\mathrm{0,4\ m\ inside\ is\ \frac{1}{50}\ x\ 0,4 m\ on\ plan }$$
$$\hspace*{30 mm}\mathrm{i.e.\ 0,008\ m\ or\ 0,8\ cm }$$

$$\hspace*{6 mm}\mathrm{6.2.3\kern2mmScale\ 1 \bold :\ 50 }$$
$$\hspace*{13 mm}\mathrm{50\ m\ in\ building\ is\ 1\ m\ on\ plan }$$
$$\hspace*{13 mm}\mathrm{1\ m\ in\ building\ is\ \frac{1}{50}\ m\ on\ plan }$$

$$\hspace*{13 mm}\mathrm{1,26\ m\ inside\ is\ \frac{1}{50}\ x\ 0,4 m\ on\ plan }$$
$$\hspace*{30 mm}\mathrm{i.e.\ 0,0252\ m\ or\ 2,52\ cm }$$

Antwoorde / Answers  7

$$\hspace*{6 mm}\mathrm{7.1\kern2mmVolume\ is\ direk\ eweredig\ aan }$$
$$\hspace*{13 mm}\mathrm{massa\ want\ \frac{massa}{volume} is\ 'n\ konstante }$$

$$\hspace*{6 mm}\mathrm{7.2\kern2mm1\ liter\ =\ 1\ 000\ cm^3\ en }$$
$$\hspace*{13 mm}\mathrm{1\ kg\ =\ 1\ 000\ g \kern20mm }$$ $$\hspace*{13 mm}\mathrm{digtheid\ van\ stof\ =\ \frac{massa}{volume} }$$

$$\hspace*{13 mm}\mathrm{digtheid\ van\ water\ =\ \frac{1\ 000\ g}{1\ 000\ cm^3} }$$

$$\hspace*{45 mm}\mathrm{=\ 1\ g/cm3 }$$

$$\hspace*{6 mm}\mathrm{7.3.1\kern2mmdigtheid\ van\ stof\ =\ \frac{massa}{volume} }$$
$$\hspace*{13 mm}\mathrm{massa\ =\ digtheid\ van\ stof\ x\ volume }$$ $$\hspace*{13 mm}\mathrm{massa\ =\ 19,3\ g/cm^3\ x\ 6\ cm^3 }$$ $$\hspace*{26 mm}\mathrm{=\ 115,8\ g }$$

$$\hspace*{6 mm}\mathrm{7.3.2\kern2mmdigtheid\ van\ stof\ =\ \frac{massa}{volume} }$$

$$\hspace*{13 mm}\mathrm{sodat\ volume\ =\ \frac{massa}{digtheid\ van\ stof} }$$

$$\hspace*{23 mm}\mathrm{volume\ =\ \frac{413,02\ g}{19,3\ g/cm^3} }$$ $$\hspace*{37 mm}\mathrm{=\ 21,4\ g }$$

$$\hspace*{6 mm}\mathrm{7.3.3\kern2mmdigtheid\ van\ stof\ =\ \frac{massa}{volume} }$$

$$\hspace*{44 mm}\mathrm{=\ \frac{41,2\ g}{2,4\ cm^3} }$$

$$\hspace*{44 mm}\mathrm{=\ 17,167\ g }$$
$$\hspace*{13 mm}\mathrm{Dit\ is\ kleiner\ as\ die\ digtheid\ van }$$ $$\hspace*{13 mm}\mathrm{suiwer\ goud\ en\ dus\ is\ die\ ring\ nie }$$ $$\hspace*{13 mm}\mathrm{van\ suiwer\ goud\ gemaak\ nie. }$$

$$\hspace*{6 mm}\mathrm{7.4.1\kern2mmdigtheid\ van\ lood\ =\ \frac{massa}{volume} }$$

$$\hspace*{44 mm}\mathrm{=\ \frac{24,97\ g}{2,2\ cm^3} }$$

$$\hspace*{44 mm}\mathrm{=\ 11,35\ g/cm^3 }$$

$$\hspace*{6 mm}\mathrm{7.4.2\kern2mmdigtheid\ van\ stof\ =\ \frac{massa}{volume} }$$

$$\hspace*{13 mm}\mathrm{sodat\ volume\ =\ \frac{massa}{digtheid\ van\ stof} }$$

$$\hspace*{23 mm}\mathrm{volume\ =\ \frac{181,6\ g}{11,35\ g/cm^3} }$$ $$\hspace*{37 mm}\mathrm{=\ 16\ g }$$

$$\hspace*{6 mm}\mathrm{7.4.3\kern2mmVolume\ van\ 'n\ kubus\ =\ sy^3 }$$ $$\hspace*{51 mm}\mathrm{=\ (2\ cm)^3 }$$ $$\hspace*{51 mm}\mathrm{=\ 8\ cm^3 }$$
$$\hspace*{17 mm}\mathrm{Digtheid\ =\ \frac{massa}{volume} }$$ $$\hspace*{19 mm}\mathrm{massa\ =\ digtheid\ x\ volume }$$ $$\hspace*{31 mm}\mathrm{=\ 11,35\ g/cm^3\ x\ 8\ cm^3 }$$ $$\hspace*{31 mm}\mathrm{=\ 90,80\ g }$$

$$\hspace*{6 mm}\mathrm{7.1\kern2mmVolume\ is\ directly\ proportional\ to }$$
$$\hspace*{13 mm}\mathrm{mass\ because\ \frac{mass}{volume} is\ a\ constant }$$

$$\hspace*{6 mm}\mathrm{7.2\kern2mm1\ litre\ =\ 1\ 000\ cm^3\ and }$$
$$\hspace*{13 mm}\mathrm{1\ kg\ =\ 1\ 000 \ g }$$ $$\hspace*{13 mm}\mathrm{density\ of\ substance\ =\ \frac{mass}{volume} }$$

$$\hspace*{13 mm}\mathrm{density\ of\ water\ =\ \frac{1\ 000\ g}{1\ 000\ cm^3} }$$

$$\hspace*{41 mm}\mathrm{=\ 1\ g/cm^3 }$$

$$\hspace*{6 mm}\mathrm{7.3.1\kern2mmdensity\ of\ substance\ =\ \frac{mass}{volume} }$$
$$\hspace*{13 mm}\mathrm{\bold ∴\ mass\ =\ density\ x\ volume }$$ $$\hspace*{18 mm}\mathrm{mass\ =\ 19,3\ g/cm^3\ x\ 6\ cm^3 }$$ $$\hspace*{29 mm}\mathrm{=\ 115,8\ g }$$

$$\hspace*{6 mm}\mathrm{7.3.2\kern2mmdensity\ of\ substance\ =\ \frac{mass}{volume} }$$

$$\hspace*{17 mm}\mathrm{so\ that\ volume\ =\ \frac{mass}{density} }$$

$$\hspace*{29 mm}\mathrm{volume\ =\ \frac{413,02\ g}{19,3\ g/cm^3} }$$ $$\hspace*{43 mm}\mathrm{=\ 21,4\ g }$$

$$\hspace*{6 mm}\mathrm{7.3.3\kern2mmdensity\ of\ substance\ =\ \frac{mass}{volume} }$$

$$\hspace*{51 mm}\mathrm{=\ \frac{41,2\ g}{2,4\ g/cm^3} }$$

$$\hspace*{51 mm}\mathrm{=\ 17,167\ g }$$
$$\hspace*{13 mm}\mathrm{It\ is\ less\ than\ the\ density\ of\ pure }$$ $$\hspace*{13 mm}\mathrm{gold\ and\ thus\ the\ ring\ is\ not\ made }$$ $$\hspace*{13 mm}\mathrm{from\ pure\ gold. }$$

$$\hspace*{6 mm}\mathrm{7.4.1\kern2mmdensity\ of\ lead\ =\ \frac{mass}{volume} }$$

$$\hspace*{42 mm}\mathrm{=\ \frac{24,97\ g}{2,2\ cm^3} }$$

$$\hspace*{42 mm}\mathrm{=\ 11,35\ g/cm^3 }$$

$$\hspace*{6 mm}\mathrm{7.4.2\kern2mmdensity\ of\ substance\ =\ \frac{mass}{volume} }$$

$$\hspace*{17 mm}\mathrm{so\ that\ volume\ =\ \frac{mass}{density} }$$

$$\hspace*{29 mm}\mathrm{volume\ =\ \frac{181,6\ g}{11,35\ g/cm^3} }$$ $$\hspace*{43 mm}\mathrm{=\ 16\ cm^3 }$$

$$\hspace*{6 mm}\mathrm{7.4.3\kern2mmVolume\ of\ a\ cube\ =\ side^3 }$$ $$\hspace*{47 mm}\mathrm{=\ (2\ cm)^3 \kern40mm}$$ $$\hspace*{47 mm}\mathrm{=\ 8\ cm^3 }$$ $$\hspace*{17 mm}\mathrm{Density\ =\ \frac{mass}{volume} }$$

$$\hspace*{20 mm}\mathrm{mass\ =\ density\ x\ volume }$$

$$\hspace*{20 mm}\mathrm{mass\ =\ 11,35\ g/cm^3\ x\ 8\ cm^3 }$$ $$\hspace*{31 mm}\mathrm{=\ 90,80\ g }$$

Antwoorde / Answers  8

$$\hspace*{6 mm}\mathrm{8.1\kern2mm1,34\ kg\ piesangs\ kos\ R26,91 }$$
$$\hspace*{13 mm}\mathrm{1\ kg\ piesangs\ kos\ R\frac{26,91}{1,34} }$$ $$\hspace*{37 mm}\mathrm{d.i.\ R20,08 }$$

$$\hspace*{6 mm}\mathrm{8.2\kern2mm1\ kg\ piesangs\ kos\ R20,08 }$$
$$\hspace*{13 mm}\mathrm{2,44\ kg\ piesangs\ kos\ R20,08\ x\ 2,44 }$$
$$\hspace*{37 mm}\mathrm{d.i.\ R48,9952 }$$
$$\hspace*{37 mm}\mathrm{d.i.\ R49,00 }$$

$$\hspace*{6 mm}\mathrm{8.3\kern2mmR20,08\ is\ die\ prys\ van\ 1\ kg }$$
$$\hspace*{13 mm}\mathrm{R1\ is\ die\ prys\ van\ \frac{1}{20,08}\ kg }$$
$$\hspace*{13 mm}\mathrm{R8,63\ is\ die\ prys\ van\ \frac{1}{20,08}\ x\ 8,63\ kg }$$
$$\hspace*{37 mm}\mathrm{d.i.\ 0,42978\ kg }$$
$$\hspace*{37 mm}\mathrm{d.i.\ 0,430\ kg }$$

$$\hspace*{6 mm}\mathrm{8.1\kern2mm1,34\ kg\ of\ bananas\ costs\ R26,91 }$$
$$\hspace*{13 mm}\mathrm{1\ kg\ of\ bananas\ costs\ R\frac{26,91}{1,34} }$$
$$\hspace*{44 mm}\mathrm{i.e.\ R20,08 }$$

$$\hspace*{6 mm}\mathrm{8.2\kern2mm1\ kg\ of\ bananas\ costs\ R20,08 }$$
$$\hspace*{13 mm}\mathrm{2,44\ kg\ of\ costs\ R20,08\ x\ 2,44 }$$
$$\hspace*{44 mm}\mathrm{i.e.\ R48,9952 }$$
$$\hspace*{44 mm}\mathrm{i.e.\ R49,00 }$$

$$\hspace*{6 mm}\mathrm{8.3\kern2mmR20,08\ is\ the\ price\ of\ 1\ kg }$$
$$\hspace*{13 mm}\mathrm{R1\ is\ the\ price\ of\ \frac{1}{20,08}\ kg }$$
$$\hspace*{13 mm}\mathrm{R8,63\ is\ the\ price\ of\ \frac{1}{20,08}\ x\ 8.63\ kg }$$
$$\hspace*{44 mm}\mathrm{i.e.\ 0,42978\ kg }$$
$$\hspace*{44 mm}\mathrm{i.e.\ 0,430\ kg }$$

Antwoorde / Answers  9

$$\hspace*{6 mm}\mathrm{9.1\kern2mm1\ vat\ olie\ kos\ \69,29 }$$
$$\hspace*{13 mm}\mathrm{30\ vatte\ olie\ kos\ \69,29\ x\ 30 }$$ $$\hspace*{37 mm}\mathrm{d.i.\ \2\ 078,7 }$$

$$\hspace*{6 mm}\mathrm{9.2\kern2mm75\ \ell\ olie\ kos\ \69,29 }$$
$$\hspace*{13 mm}\mathrm{1\ \ell\ olie\ kos\ \\frac{69,29}{75} \kern30mm }$$ $$\hspace*{13 mm}\mathrm{\1\ =\ R14,12 \kern30mm }$$ $$\hspace*{13 mm}\mathrm{1\ \ell\ olie\ kos\ R\frac{69,29}{75}\ x\ 14,12 }$$

$$\hspace*{30 mm}\mathrm{d.i.\ R13,04 }$$

$$\hspace*{6 mm}\mathrm{9.1\kern2mm1\ barrel\ of\ oil\ costs\ \69,29 }$$
$$\hspace*{13 mm}\mathrm{30\ barrels\ of\ oi\ costs\ \69,29\ x\ 30 }$$ $$\hspace*{44 mm}\mathrm{i.e.\ \2\ 078,7 }$$

$$\hspace*{6 mm}\mathrm{9.2\kern2mm75\ \ell\ of\ oil\ cost\ \69,29 }$$
$$\hspace*{13 mm}\mathrm{1\ \ell\ of\ oi\ costs\ \\frac{69,29}{75} \kern30mm }$$ $$\hspace*{13 mm}\mathrm{\1\ =\ R14,12 \kern30mm }$$ $$\hspace*{13 mm}\mathrm{1\ \ell\ of\ oil\ costs\ R\frac{69,29}{75}\ x\ 14,12 \kern30mm }$$

$$\hspace*{44 mm}\mathrm{i.e.\ R13,04 }$$

Antwoorde / Answers  10

$$\hspace*{6 mm}\mathrm{10.1\kern2mmR20,24\ =\ £1 }$$
$$\hspace*{13 mm}\mathrm{R1\ =\ £\frac{1}{20,24} }$$

$$\hspace*{13 mm}\mathrm{R13,99\ =\ £\frac{1}{20,24}\ x\ 13,99 }$$

$$\hspace*{13 mm}\mathrm{\bold ∴\ \1\ =\ £\frac{1}{20,24}\ x\ 13,99 }$$

$$\hspace*{23 mm}\mathrm{=\ £0,6912 }$$

Antwoorde / Answers  11

$$\hspace*{6 mm}\mathrm{11.1\kern2mmR20,08\ is\ prys\ van\ 1\ kg }$$
$$\hspace*{15 mm}\mathrm{R1\ is\ prys\ van\ \frac{1}{20,08}\ kg }$$

$$\hspace*{15 mm}\mathrm{R25,10\ is\ prys\ van\ \frac{1}{20,08}\ x\ 25,10\ kg }$$

$$\hspace*{43 mm}\mathrm{d.i.\ 1,25\ kg }$$
$$\hspace*{15 mm}\mathrm{Massa\ van\ pakkie\ is\ 1,25\ kg }$$

$$\hspace*{6 mm}\mathrm{11.2\kern2mm1,25\ kg\ tamaties\ kos\ R40,00 }$$
$$\hspace*{15 mm}\mathrm{1\ kg\ tamaties\ kos\ R\frac{40}{1,25} }$$

$$\hspace*{43 mm}\mathrm{d.i.\ R32,00 }$$
$$\hspace*{15 mm}\mathrm{Prys\ van\ 1\ kg\ tamaties\ is\ R32,00 }$$

$$\hspace*{6 mm}\mathrm{11.1\kern2mmR20,08\ is\ the\ price\ of\ 1\ kg }$$
$$\hspace*{15 mm}\mathrm{R1\ is\ the\ price\ of\ \frac{1}{20,08}\ kg }$$

$$\hspace*{15 mm}\mathrm{R25,10\ is\ the\ price\ of\ \frac{1}{20,08}\ x\ 25,10\ kg }$$

$$\hspace*{43 mm}\mathrm{i.e.\ 1,25\ kg }$$
$$\hspace*{15 mm}\mathrm{Mass\ of\ package\ is\ 1,25\ kg }$$

$$\hspace*{6 mm}\mathrm{11.2\kern2mm1,25\ kg\ tomatoes\ costs\ R40,00 }$$
$$\hspace*{15 mm}\mathrm{1\ kg\ tomatoes\ costs\ R\frac{40}{1,25} }$$

$$\hspace*{43 mm}\mathrm{i.e.\ R32,00 }$$
$$\hspace*{15 mm}\mathrm{Price\ of\ 1\ kg\ tomatoes\ is\ R32,00 }$$