Roshel had $350 less than Ben. Ben spent 0.9 of his money and Roshel spent 0.2 of her money. In the end, Ben and Roshel had the same amount of money left. Find the amount of money Roshel had at first.
| |
Roshel |
Ben |
Difference |
| Before |
5 u |
40 u |
35 u |
| Change |
- 1 u |
- 4 u |
|
| After |
4 u |
4 u |
|
0.9 =
910 Fraction of Ben's amount left
= 1 -
910 =
110 0.2 =
15 Fraction of Roshel's amount left
= 1 -
15 =
45 The amount that Ben and Roshel each had in the end is the same. Make the numerators the same. LCM of 1 and 4 is 4.
110 of Ben's amount =
45 of Roshel's amount
440 of Ben's amount =
45 of Roshel's amount
Amount that Roshel had less than Ben
= 40 u - 5 u
= 35 u
35 u = 350
1 u = 350 ÷ 35 = 10
Amount that Roshel had at first
= 5 u
= 5 x 10
= $50
Answer(s): $50
