Shop D had 64 kg of pepper and Shop E had 120 kg of pepper. After both shops sold an equal amount of pepper, Shop D had
37 as much pepper as Shop E. How much pepper did both shops sell?
| |
Shop D |
Shop E |
Difference |
| Before |
64 |
120 |
56 |
| Change |
- ? |
- ? |
|
| After |
3 u |
7 u |
4 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
= 7 u - 3 u
= 4 u
4 u = 56
1 u = 56 ÷ 4 = 14
Mass of pepper in Shop D in the end
= 3 u
= 3 x 14
= 42 kg
Mass of pepper that each shop sold
= 64 - 42
= 22 kg
Amount of pepper that both shops sold
= 2 x 22
= 44 kg
Answer(s): 44 kg
