Shop E had 79 kg of sugar and Shop F had 148 kg of sugar. After both shops sold an equal amount of sugar, Shop E had
25 as much sugar as Shop F. How much sugar did both shops sell?
| |
Shop E |
Shop F |
Difference |
| Before |
79 |
148 |
69 |
| 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 = 69
1 u = 69 ÷ 3 = 23
Mass of sugar in Shop E in the end
= 2 u
= 2 x 23
= 46 kg
Mass of sugar that each shop sold
= 79 - 46
= 33 kg
Amount of sugar that both shops sold
= 2 x 33
= 66 kg
Answer(s): 66 kg
