Shop Y had 60 kg of sugar and Shop Z had 128 kg of sugar. After both shops sold an equal amount of sugar, Shop Y had
37 as much sugar as Shop Z. How much sugar did both shops sell?
| |
Shop Y |
Shop Z |
Difference |
| Before |
60 |
128 |
68 |
| Change |
- ? |
- ? |
|
| After |
3 u |
7 u |
4 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
= 7 u - 3 u
= 4 u
4 u = 68
1 u = 68 ÷ 4 = 17
Mass of sugar in Shop Y in the end
= 3 u
= 3 x 17
= 51 kg
Mass of sugar that each shop sold
= 60 - 51
= 9 kg
Amount of sugar that both shops sold
= 2 x 9
= 18 kg
Answer(s): 18 kg
