#### Rate, ratio and proportion.

1.
Divide
1.1
R35 in the proportion 3 : 4.
1.2
45 sweets in the proportion 2 : 3 : 4
1.3
R34 500 in the proporion 2 : 8 : 15
2.
Increase
2.1
a length of 21,6 m in the proportion 4 : 7
2.2
a profit of R3 672 in the proportion 4 : 5
2.3
a mass of 91,7 kg in the proportion 7 : 5
3.
John jogs 5 km in 25 minutes.
3.1
How long does he take to jog 2 km?
3.2
How far can he jog in 65 minutes?
4.
Mary is paid R30 per hour. She works every day from Monday to Friday, 8 hours per day
4.1
Calculate her weekly wages.
4.2
How many hours does she have to work to earn R1 770?
4.3
She worked for 29 hours. How much will she receive?
5.
A motor car uses 47,32 litres of petrol to travel 613 km.
5.1
Calculate the fuel consumption of the car in km/litre and also in litres/100 km.
5.2
How far can the car travel using 21,4 litres of petrol at the same fuel consumption.
5.3
How many litres of petrol will the car use to travel 430 km?
6.
A plan is drawn to a scale of 1 : 50.
6.1
What distance in real life is represented by a distance of
6.1.1
2 cm on the plan?
6.1.2
35 mm on the plan?
6.1.3
0,35 m on the plan?
6.2
What distance on the plan is represented by    . . .   in real life?
6.2.1
35,4 m
6.2.2
0,4 m
6.2.3
1,26 m
mass
7.
The density of a substance is defined as: density of substance   =   --------------
volume
7.1
Which quantity is directly proportional to mass? Explain.
7.2
The mass of 1 litre of water is 1 kg.
3
Calculate the density of water in g/cm
3
7.3
The density of gold is 19,3 g/cm  .
3
7.3.1
Calculate the mass of 6 cm   gold.
7.3.2
Calculate the volume of 413,02 g of gold.
3
7.3.3
It is claimed that a ring with a mass of 41,2 g and a volume of 2,4 cm    is made from pure gold.