Shop X had 51 kg of chilli powder and Shop Y had 126 kg of chilli powder. After both shops sold an equal amount of chilli powder, Shop X had
25 as much chilli powder as Shop Y. How much chilli powder did both shops sell?
|
Shop X |
Shop Y |
Difference |
Before |
51 |
126 |
75 |
Change |
- ? |
- ? |
|
After |
2 u |
5 u |
3 u |
The difference between the amount of chilli powder at first and in the end remains unchanged.
Difference in the mass of chilli powder in the end
= 5 u - 2 u
= 3 u
3 u = 75
1 u = 75 ÷ 3 = 25
Mass of chilli powder in Shop X in the end
= 2 u
= 2 x 25
= 50 kg
Mass of chilli powder that each shop sold
= 51 - 50
= 1 kg
Amount of chilli powder that both shops sold
= 2 x 1
= 2 kg
Answer(s): 2 kg