Lucy and Winnie went shopping with a total of $759. After Lucy spent
56 of her money and Winnie spent $66, the ratio of Winnie's money became 3 times as much as Lucy's money. Find the ratio of Lucy's money to Winnie's money at first.
|
Lucy |
Winnie |
Before |
6 u |
3 u + 66 |
Change |
- 5 u |
- 66 |
After |
1 u |
|
Comparing between Lucy and Winnie in the end |
1 u |
3 u |
Total amount that Lucy and Winnie had at first
= 6 u + 3 u + 66
= 9 u + 66
9 u + 66 = 759
6 u + 5 u = 759 - 66
9 u = 693
1 u = 693 ÷ 9 = 77
Amount that Lucy had at first
= 6 u
= 6 x 77
= $462
Amount that Winnie had at first
= 759 - 462
= $297
At first
Lucy : Winnie
462 : 297
14 : 9
Answer(s): 14 : 9