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Upper primary school mathematics question UPQ129
Sarin had 2 identical containers completely filled with mixtures of oil and water. The ratio of amount of oil to the amount of water in the first container was 7 : 1 and in the second container was 8 : 1. He emptied both the containers into an empty tank.
(a) What was the ratio of the amount of oil to the amount of water in the tank?
(b) If the volume of oil and water in the tank is 36l, how many litres of oil were there in the first container at first?
Solution:
Both the containers are identical
In 1st container,
Oil : water : oil plus water = 7 : 1 : 8 = 63 : 9 : 72
In 2nd container,
Oil : Water : oil plus water = 8 : 1 : 9 = 64 : 8 : 72
When mixed and in the tank,
Oil : Water : oil plus water = 127 : 17 : 144
Ratio of oil to water = 127 : 17
144 units = 36l
1 unit = 36 ÷ 144 = 0.25l
The volume of oil in the first container is 63 × 0.25 = 15.75l
Alternative solution:
144 units = 36l
1 unit = 36 ÷ 144 = 0.25l
The volume of oil in the first container is 63 × 0.25 = 15.75l
Solving Primary School Mathematics 