Shop J had 66 kg of sugar and Shop K had 150 kg of sugar. After both shops sold an equal amount of sugar, Shop J had
37 as much sugar as Shop K. How much sugar did both shops sell?
| |
Shop J |
Shop K |
Difference |
| Before |
66 |
150 |
84 |
| 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 = 84
1 u = 84 ÷ 4 = 21
Mass of sugar in Shop J in the end
= 3 u
= 3 x 21
= 63 kg
Mass of sugar that each shop sold
= 66 - 63
= 3 kg
Amount of sugar that both shops sold
= 2 x 3
= 6 kg
Answer(s): 6 kg
