Shop E had 54 kg of pepper and Shop F had 132 kg of pepper. After both shops sold an equal amount of pepper, Shop E had
25 as much pepper as Shop F. How much pepper did both shops sell?
| |
Shop E |
Shop F |
Difference |
| Before |
54 |
132 |
78 |
| Change |
- ? |
- ? |
|
| After |
2 u |
5 u |
3 u |
The difference between the amount of pepper at first and in the end remains unchanged.
Difference in the mass of pepper in the end
= 5 u - 2 u
= 3 u
3 u = 78
1 u = 78 ÷ 3 = 26
Mass of pepper in Shop E in the end
= 2 u
= 2 x 26
= 52 kg
Mass of pepper that each shop sold
= 54 - 52
= 2 kg
Amount of pepper that both shops sold
= 2 x 2
= 4 kg
Answer(s): 4 kg
