Shop X had 68 kg of chicken powder and Shop Y had 123 kg of chicken powder. After both shops sold an equal amount of chicken powder, Shop X had
27 as much chicken powder as Shop Y. How much chicken powder did both shops sell?
|
Shop X |
Shop Y |
Difference |
Before |
68 |
123 |
55 |
Change |
- ? |
- ? |
|
After |
2 u |
7 u |
5 u |
The difference between the amount of chicken powder at first and in the end remains unchanged.
Difference in the mass of chicken powder in the end
= 7 u - 2 u
= 5 u
5 u = 55
1 u = 55 ÷ 5 = 11
Mass of chicken powder in Shop X in the end
= 2 u
= 2 x 11
= 22 kg
Mass of chicken powder that each shop sold
= 68 - 22
= 46 kg
Amount of chicken powder that both shops sold
= 2 x 46
= 92 kg
Answer(s): 92 kg