Shop V had 61 kg of sugar and Shop W had 136 kg of sugar. After both shops sold an equal amount of sugar, Shop V had
25 as much sugar as Shop W. How much sugar did both shops sell?
|
Shop V |
Shop W |
Difference |
Before |
61 |
136 |
75 |
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 = 75
1 u = 75 ÷ 3 = 25
Mass of sugar in Shop V in the end
= 2 u
= 2 x 25
= 50 kg
Mass of sugar that each shop sold
= 61 - 50
= 11 kg
Amount of sugar that both shops sold
= 2 x 11
= 22 kg
Answer(s): 22 kg