Grade 11 - More exercises : Answers.

Rate, ratio and proportion.

          2                        2                        4                        8                      13
1.1   ----            1.2   ------            1.3   ----           1.4   ------           1.5   ------
          3                        5                        7                      13                      23

2.1   Peter gets 15 and John 20.                                            2.2   A gets R424 and B gets R954.
2.3   A gets R9 107, B gets R6 505 and C gets R2 602.       2.4   C gets R69,36 and D gets R254,32
2.5   P gets 40 and Q gets 56 oxen .                                     2.6   R gets 196, S gets 112 and T gets 56 sheep.

3.1   A : B : C = 6 : 5 : 3                                     3.2   A gets R20 829, B gets R17 357,5 and C gets R10 414,5
3.3.1   A : B : C = 24 : 20 : 13                            3.3.2   A gets R30 702 , B gets R25 585 and C gets R16 630,25.

4.1   John : Mike = 9 : 15                                    4.2   A : B : C = 8 : 5 : 3

5.1   102,5 kg                   5.2   R1 323                   5.3   34,1 m
5.4   21,3 kg                     5.5   R202,5                   5.6   19 litre.

6. 24 boys and 21 girls.

7.1   b : g = 23 : 22                                            7.2   b : g = 10 : 13
7.3   There are now 24 boys and 20 girls. 1 boy was admitted and 2 girls left.

8.   There are 18 green, 20 yellow and 48 sweets in total.

9.1   N : P : K = 3 : 2 : 1 and 22% of the total mass is the mass of the nutrients.
9.2   Total mass of nutrients in bag = 2,2 kg.
9.3   Mass of N = 1,1 kg , mass of P = 0,73 kg and mass of K is 0,37 kg.

10.1   90 km/h = 25 m/s                                 10.2 100 m
10.3   The car travels at a lower speed because it takes longer to travel the same distance.
10.4   400 m in 12 s, i.e. 120 km/h.
10.5   150 m

11.   4 litres.                                                         12.   36,5 m

13.   No, it will only cover 19,32 m                     14.   50,879 litres

15.1   36 minutes = 36/60 hours = 0,6 hours.                   15.2   370,5 km                             15.3   4,26 hours.

16.1   4,29 days             16.2   2,5 days             16.3   4,28 men, i.e. 4 men            16.4   15 men

17.1   4 sweets              17.2   20 sweets          17.3   10 children                            17.4   40 children.

     
  
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