Gwen had $470 less than Wesley. Wesley spent 0.6 of his money and Gwen spent 0.2 of her money. In the end, Wesley and Gwen had the same amount of money left. Find the amount of money Gwen had at first.
| |
Gwen |
Wesley |
Difference |
| Before |
5 u |
10 u |
5 u |
| Change |
- 2 u |
- 4 u |
|
| After |
4 u |
4 u |
|
0.6 =
35 Fraction of Wesley's amount left
= 1 -
35 =
25 0.2 =
15 Fraction of Gwen's amount left
= 1 -
15 =
45 The amount that Wesley and Gwen each had in the end is the same. Make the numerators the same. LCM of 2 and 4 is 4.
25 of Wesley's amount =
45 of Gwen's amount
410 of Wesley's amount =
45 of Gwen's amount
Amount that Gwen had less than Wesley
= 10 u - 5 u
= 5 u
5 u = 470
1 u = 470 ÷ 5 = 94
Amount that Gwen had at first
= 5 u
= 5 x 94
= $470
Answer(s): $470
