Shop V had 65 kg of sugar and Shop W had 120 kg of sugar. After both shops sold an equal amount of sugar, Shop V had
27 as much sugar as Shop W. How much sugar did both shops sell?
| |
Shop V |
Shop W |
Difference |
| Before |
65 |
120 |
55 |
| Change |
- ? |
- ? |
|
| After |
2 u |
7 u |
5 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 - 2 u
= 5 u
5 u = 55
1 u = 55 ÷ 5 = 11
Mass of sugar in Shop V in the end
= 2 u
= 2 x 11
= 22 kg
Mass of sugar that each shop sold
= 65 - 22
= 43 kg
Amount of sugar that both shops sold
= 2 x 43
= 86 kg
Answer(s): 86 kg
