Shop R had 72 kg of sugar and Shop S had 144 kg of sugar. After both shops sold an equal amount of sugar, Shop R had
37 as much sugar as Shop S. How much sugar did both shops sell?
| |
Shop R |
Shop S |
Difference |
| Before |
72 |
144 |
72 |
| Change |
- ? |
- ? |
|
| After |
3 u |
7 u |
4 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
= 7 u - 3 u
= 4 u
4 u = 72
1 u = 72 ÷ 4 = 18
Mass of sugar in Shop R in the end
= 3 u
= 3 x 18
= 54 kg
Mass of sugar that each shop sold
= 72 - 54
= 18 kg
Amount of sugar that both shops sold
= 2 x 18
= 36 kg
Answer(s): 36 kg
