Gwen had $455 less than Fabian. Fabian spent 0.6 of his money and Gwen spent 0.4 of her money. In the end, Fabian and Gwen had the same amount of money left. Find the amount of money Gwen had at first.
| |
Gwen |
Fabian |
Difference |
| Before |
10 u |
15 u |
5 u |
| Change |
- 2 u |
- 3 u |
|
| After |
6 u |
6 u |
|
0.6 =
35 Fraction of Fabian's amount left
= 1 -
35 =
25 0.4 =
25 Fraction of Gwen's amount left
= 1 -
25 =
35 The amount that Fabian and Gwen each had in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.
25 of Fabian's amount =
35 of Gwen's amount
615 of Fabian's amount =
610 of Gwen's amount
Amount that Gwen had less than Fabian
= 15 u - 10 u
= 5 u
5 u = 455
1 u = 455 ÷ 5 = 91
Amount that Gwen had at first
= 10 u
= 10 x 91
= $910
Answer(s): $910
