Shop Q had 73 kg of pepper and Shop R had 128 kg of pepper. After both shops sold an equal amount of pepper, Shop Q had
27 as much pepper as Shop R. How much pepper did both shops sell?
| |
Shop Q |
Shop R |
Difference |
| Before |
73 |
128 |
55 |
| 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 = 55
1 u = 55 ÷ 5 = 11
Mass of pepper in Shop Q in the end
= 2 u
= 2 x 11
= 22 kg
Mass of pepper that each shop sold
= 73 - 22
= 51 kg
Amount of pepper that both shops sold
= 2 x 51
= 102 kg
Answer(s): 102 kg
