Shop L had 58 kg of pepper and Shop M had 138 kg of pepper. After both shops sold an equal amount of pepper, Shop L had
27 as much pepper as Shop M. How much pepper did both shops sell?
|
Shop L |
Shop M |
Difference |
Before |
58 |
138 |
80 |
Change |
- ? |
- ? |
|
After |
2 u |
7 u |
5 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 - 2 u
= 5 u
5 u = 80
1 u = 80 ÷ 5 = 16
Mass of pepper in Shop L in the end
= 2 u
= 2 x 16
= 32 kg
Mass of pepper that each shop sold
= 58 - 32
= 26 kg
Amount of pepper that both shops sold
= 2 x 26
= 52 kg
Answer(s): 52 kg