Shop M had 76 kg of pepper and Shop N had 146 kg of pepper. After both shops sold an equal amount of pepper, Shop M had
27 as much pepper as Shop N. How much pepper did both shops sell?
|
Shop M |
Shop N |
Difference |
Before |
76 |
146 |
70 |
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 = 70
1 u = 70 ÷ 5 = 14
Mass of pepper in Shop M in the end
= 2 u
= 2 x 14
= 28 kg
Mass of pepper that each shop sold
= 76 - 28
= 48 kg
Amount of pepper that both shops sold
= 2 x 48
= 96 kg
Answer(s): 96 kg