Shop D had 75 kg of pepper and Shop E had 127 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 |
75 |
127 |
52 |
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 = 52
1 u = 52 ÷ 4 = 13
Mass of pepper in Shop D in the end
= 3 u
= 3 x 13
= 39 kg
Mass of pepper that each shop sold
= 75 - 39
= 36 kg
Amount of pepper that both shops sold
= 2 x 36
= 72 kg
Answer(s): 72 kg