Shop F had 65 kg of sugar and Shop G had 145 kg of sugar. After both shops sold an equal amount of sugar, Shop F had
311 as much sugar as Shop G. How much sugar did both shops sell?
| |
Shop F |
Shop G |
Difference |
| Before |
65 |
145 |
80 |
| 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 = 80
1 u = 80 ÷ 8 = 10
Mass of sugar in Shop F in the end
= 3 u
= 3 x 10
= 30 kg
Mass of sugar that each shop sold
= 65 - 30
= 35 kg
Amount of sugar that both shops sold
= 2 x 35
= 70 kg
Answer(s): 70 kg
