Shop D had 78 kg of chilli powder and Shop E had 135 kg of chilli powder. After both shops sold an equal amount of chilli powder, Shop D had
25 as much chilli powder as Shop E. How much chilli powder did both shops sell?
|
Shop D |
Shop E |
Difference |
Before |
78 |
135 |
57 |
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 = 57
1 u = 57 ÷ 3 = 19
Mass of chilli powder in Shop D in the end
= 2 u
= 2 x 19
= 38 kg
Mass of chilli powder that each shop sold
= 78 - 38
= 40 kg
Amount of chilli powder that both shops sold
= 2 x 40
= 80 kg
Answer(s): 80 kg