Shop T had 54 kg of sugar and Shop U had 134 kg of sugar. After both shops sold an equal amount of sugar, Shop T had
27 as much sugar as Shop U. How much sugar did both shops sell?
|
Shop T |
Shop U |
Difference |
Before |
54 |
134 |
80 |
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 = 80
1 u = 80 ÷ 5 = 16
Mass of sugar in Shop T in the end
= 2 u
= 2 x 16
= 32 kg
Mass of sugar that each shop sold
= 54 - 32
= 22 kg
Amount of sugar that both shops sold
= 2 x 22
= 44 kg
Answer(s): 44 kg