Fanny went shopping with twice as much money as Roshel. After Fanny spent $100, Roshel had thrice as much money as Fanny had left. How much less money did Roshel bring along for shopping than Fanny?
| |
Fanny |
Roshel |
Difference |
| Before |
2x3 =
6 u |
1x3 =
3 u |
3 u |
| Change |
- $100 |
|
|
| After |
1 u |
3 u |
|
The amount that Roshel has remains unchanged at first and in the end. Make the amount that Roshel has the same. LCM of 1 and 3 is 3.
Amount that Fanny spent
= 6 u - 1 u
= 5 u
5 u = 100
1 u = 100 ÷ 5 = 20
Amount that Roshel brought along less than Fanny
= 6 u - 3 u
= 3 u
= 3 x 20
= $60
Answer(s): $60
