Shop W had 74 kg of sugar and Shop X had 125 kg of sugar. After both shops sold an equal amount of sugar, Shop W had
25 as much sugar as Shop X. How much sugar did both shops sell?
| |
Shop W |
Shop X |
Difference |
| Before |
74 |
125 |
51 |
| 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 = 51
1 u = 51 ÷ 3 = 17
Mass of sugar in Shop W in the end
= 2 u
= 2 x 17
= 34 kg
Mass of sugar that each shop sold
= 74 - 34
= 40 kg
Amount of sugar that both shops sold
= 2 x 40
= 80 kg
Answer(s): 80 kg
