Shop D had 62 kg of sugar and Shop E had 134 kg of sugar. After both shops sold an equal amount of sugar, Shop D had
25 as much sugar as Shop E. How much sugar did both shops sell?
| |
Shop D |
Shop E |
Difference |
| Before |
62 |
134 |
72 |
| 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 = 72
1 u = 72 ÷ 3 = 24
Mass of sugar in Shop D in the end
= 2 u
= 2 x 24
= 48 kg
Mass of sugar that each shop sold
= 62 - 48
= 14 kg
Amount of sugar that both shops sold
= 2 x 14
= 28 kg
Answer(s): 28 kg
