Shop G had 68 kg of sugar and Shop H had 140 kg of sugar. After both shops sold an equal amount of sugar, Shop G had
311 as much sugar as Shop H. How much sugar did both shops sell?
|
Shop G |
Shop H |
Difference |
Before |
68 |
140 |
72 |
Change |
- ? |
- ? |
|
After |
3 u |
11 u |
8 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
= 11 u - 3 u
= 8 u
8 u = 72
1 u = 72 ÷ 8 = 9
Mass of sugar in Shop G in the end
= 3 u
= 3 x 9
= 27 kg
Mass of sugar that each shop sold
= 68 - 27
= 41 kg
Amount of sugar that both shops sold
= 2 x 41
= 82 kg
Answer(s): 82 kg