Gwen and Jean went shopping with a total of $726. After Gwen spent
34 of her money and Jean spent $22, the ratio of Jean's money became 4 times as much as Gwen's money. Find the ratio of Gwen's money to Jean's money at first.
| |
Gwen |
Jean |
| Before |
4 u |
4 u + 22 |
| Change |
- 3 u |
- 22 |
| After |
1 u |
|
| Comparing between Gwen and Jean in the end |
1 u |
4 u |
Total amount that Gwen and Jean had at first
= 4 u + 4 u + 22
= 8 u + 22
8 u + 22 = 726
4 u + 3 u = 726 - 22
8 u = 704
1 u = 704 ÷ 8 = 88
Amount that Gwen had at first
= 4 u
= 4 x 88
= $352
Amount that Jean had at first
= 726 - 352
= $374
At first
Gwen : Jean
352 : 374
16 : 17
Answer(s): 16 : 17
