Shop U had 79 kg of pepper and Shop V had 149 kg of pepper. After both shops sold an equal amount of pepper, Shop U had
27 as much pepper as Shop V. How much pepper did both shops sell?
| |
Shop U |
Shop V |
Difference |
| Before |
79 |
149 |
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 U in the end
= 2 u
= 2 x 14
= 28 kg
Mass of pepper that each shop sold
= 79 - 28
= 51 kg
Amount of pepper that both shops sold
= 2 x 51
= 102 kg
Answer(s): 102 kg
