Shop V had 77 kg of pepper and Shop W had 122 kg of pepper. After both shops sold an equal amount of pepper, Shop V had
25 as much pepper as Shop W. How much pepper did both shops sell?
|
Shop V |
Shop W |
Difference |
Before |
77 |
122 |
45 |
Change |
- ? |
- ? |
|
After |
2 u |
5 u |
3 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
= 5 u - 2 u
= 3 u
3 u = 45
1 u = 45 ÷ 3 = 15
Mass of pepper in Shop V in the end
= 2 u
= 2 x 15
= 30 kg
Mass of pepper that each shop sold
= 77 - 30
= 47 kg
Amount of pepper that both shops sold
= 2 x 47
= 94 kg
Answer(s): 94 kg