Shop B had 77 kg of pepper and Shop C had 123 kg of pepper. After both shops sold an equal amount of pepper, Shop B had
35 as much pepper as Shop C. How much pepper did both shops sell?
| |
Shop B |
Shop C |
Difference |
| Before |
77 |
123 |
46 |
| Change |
- ? |
- ? |
|
| After |
3 u |
5 u |
2 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 - 3 u
= 2 u
2 u = 46
1 u = 46 ÷ 2 = 23
Mass of pepper in Shop B in the end
= 3 u
= 3 x 23
= 69 kg
Mass of pepper that each shop sold
= 77 - 69
= 8 kg
Amount of pepper that both shops sold
= 2 x 8
= 16 kg
Answer(s): 16 kg
