Yen and Gwen went shopping with a total of $220. After Yen spent
45 of her money and Gwen spent $40, the ratio of Gwen's money became 4 times as much as Yen's money. Find the ratio of Yen's money to Gwen's money at first.
| |
Yen |
Gwen |
| Before |
5 u |
4 u + 40 |
| Change |
- 4 u |
- 40 |
| After |
1 u |
|
| Comparing between Yen and Gwen in the end |
1 u |
4 u |
Total amount that Yen and Gwen had at first
= 5 u + 4 u + 40
= 9 u + 40
9 u + 40 = 220
5 u + 4 u = 220 - 40
9 u = 180
1 u = 180 ÷ 9 = 20
Amount that Yen had at first
= 5 u
= 5 x 20
= $100
Amount that Gwen had at first
= 220 - 100
= $120
At first
Yen : Gwen
100 : 120
5 : 6
Answer(s): 5 : 6
