Lucy and Ivory went shopping with a total of $738. After Lucy spent
56 of her money and Ivory spent $90, the ratio of Ivory's money became 3 times as much as Lucy's money. Find the ratio of Lucy's money to Ivory's money at first.
| |
Lucy |
Ivory |
| Before |
6 u |
3 u + 90 |
| Change |
- 5 u |
- 90 |
| After |
1 u |
|
| Comparing between Lucy and Ivory in the end |
1 u |
3 u |
Total amount that Lucy and Ivory had at first
= 6 u + 3 u + 90
= 9 u + 90
9 u + 90 = 738
6 u + 5 u = 738 - 90
9 u = 648
1 u = 648 ÷ 9 = 72
Amount that Lucy had at first
= 6 u
= 6 x 72
= $432
Amount that Ivory had at first
= 738 - 432
= $306
At first
Lucy : Ivory
432 : 306
24 : 17
Answer(s): 24 : 17
