Lucy and Dana went shopping with a total of $273. After Lucy spent
34 of her money and Dana spent $84, the ratio of Dana's money became 5 times as much as Lucy's money. Find the ratio of Lucy's money to Dana's money at first.
|
Lucy |
Dana |
Before |
4 u |
5 u + 84 |
Change |
- 3 u |
- 84 |
After |
1 u |
|
Comparing between Lucy and Dana in the end |
1 u |
5 u |
Total amount that Lucy and Dana had at first
= 4 u + 5 u + 84
= 9 u + 84
9 u + 84 = 273
4 u + 3 u = 273 - 84
9 u = 189
1 u = 189 ÷ 9 = 21
Amount that Lucy had at first
= 4 u
= 4 x 21
= $84
Amount that Dana had at first
= 273 - 84
= $189
At first
Lucy : Dana
84 : 189
4 : 9
Answer(s): 4 : 9