Shop R had 75 kg of sugar and Shop S had 138 kg of sugar. After both shops sold an equal amount of sugar, Shop R had
25 as much sugar as Shop S. How much sugar did both shops sell?
| |
Shop R |
Shop S |
Difference |
| Before |
75 |
138 |
63 |
| Change |
- ? |
- ? |
|
| After |
2 u |
5 u |
3 u |
The difference between the amount of sugar at first and in the end remains unchanged.
Difference in the mass of sugar in the end
= 5 u - 2 u
= 3 u
3 u = 63
1 u = 63 ÷ 3 = 21
Mass of sugar in Shop R in the end
= 2 u
= 2 x 21
= 42 kg
Mass of sugar that each shop sold
= 75 - 42
= 33 kg
Amount of sugar that both shops sold
= 2 x 33
= 66 kg
Answer(s): 66 kg
