Shop T had 74 kg of sugar and Shop U had 142 kg of sugar. After both shops sold an equal amount of sugar, Shop T had
37 as much sugar as Shop U. How much sugar did both shops sell?
| |
Shop T |
Shop U |
Difference |
| Before |
74 |
142 |
68 |
| Change |
- ? |
- ? |
|
| After |
3 u |
7 u |
4 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 - 3 u
= 4 u
4 u = 68
1 u = 68 ÷ 4 = 17
Mass of sugar in Shop T in the end
= 3 u
= 3 x 17
= 51 kg
Mass of sugar that each shop sold
= 74 - 51
= 23 kg
Amount of sugar that both shops sold
= 2 x 23
= 46 kg
Answer(s): 46 kg
