Risa and Gwen went shopping with a total of $306. After Risa spent
56 of her money and Gwen spent $27, the ratio of Gwen's money became 3 times as much as Risa's money. Find the ratio of Risa's money to Gwen's money at first.
| |
Risa |
Gwen |
| Before |
6 u |
3 u + 27 |
| Change |
- 5 u |
- 27 |
| After |
1 u |
|
| Comparing between Risa and Gwen in the end |
1 u |
3 u |
Total amount that Risa and Gwen had at first
= 6 u + 3 u + 27
= 9 u + 27
9 u + 27 = 306
6 u + 5 u = 306 - 27
9 u = 279
1 u = 279 ÷ 9 = 31
Amount that Risa had at first
= 6 u
= 6 x 31
= $186
Amount that Gwen had at first
= 306 - 186
= $120
At first
Risa : Gwen
186 : 120
31 : 20
Answer(s): 31 : 20
