Gwen and Zoe went shopping with a total of $592. After Gwen spent
34 of her money and Zoe spent $74, the ratio of Zoe's money became 3 times as much as Gwen's money. Find the ratio of Gwen's money to Zoe's money at first.
|
Gwen |
Zoe |
Before |
4 u |
3 u + 74 |
Change |
- 3 u |
- 74 |
After |
1 u |
|
Comparing between Gwen and Zoe in the end |
1 u |
3 u |
Total amount that Gwen and Zoe had at first
= 4 u + 3 u + 74
= 7 u + 74
7 u + 74 = 592
4 u + 3 u = 592 - 74
7 u = 518
1 u = 518 ÷ 7 = 74
Amount that Gwen had at first
= 4 u
= 4 x 74
= $296
Amount that Zoe had at first
= 592 - 296
= $296
At first
Gwen : Zoe
296 : 296
1 : 1
Answer(s): 1 : 1