Eva and Gwen went shopping with a total of $522. After Eva spent
34 of her money and Gwen spent $58, the ratio of Gwen's money became 4 times as much as Eva's money. Find the ratio of Eva's money to Gwen's money at first.
| |
Eva |
Gwen |
| Before |
4 u |
4 u + 58 |
| Change |
- 3 u |
- 58 |
| After |
1 u |
|
| Comparing between Eva and Gwen in the end |
1 u |
4 u |
Total amount that Eva and Gwen had at first
= 4 u + 4 u + 58
= 8 u + 58
8 u + 58 = 522
4 u + 3 u = 522 - 58
8 u = 464
1 u = 464 ÷ 8 = 58
Amount that Eva had at first
= 4 u
= 4 x 58
= $232
Amount that Gwen had at first
= 522 - 232
= $290
At first
Eva : Gwen
232 : 290
4 : 5
Answer(s): 4 : 5
