Shop Q had 70 kg of sugar and Shop R had 127 kg of sugar. After both shops sold an equal amount of sugar, Shop Q had
25 as much sugar as Shop R. How much sugar did both shops sell?
| |
Shop Q |
Shop R |
Difference |
| Before |
70 |
127 |
57 |
| Change |
- ? |
- ? |
|
| After |
2 u |
5 u |
3 u |
The difference between the amount of sugar at first and in the end remains unchanged.
Difference in the mass of sugar in the end
= 5 u - 2 u
= 3 u
3 u = 57
1 u = 57 ÷ 3 = 19
Mass of sugar in Shop Q in the end
= 2 u
= 2 x 19
= 38 kg
Mass of sugar that each shop sold
= 70 - 38
= 32 kg
Amount of sugar that both shops sold
= 2 x 32
= 64 kg
Answer(s): 64 kg
