Anna and Dana went shopping with a total of $460. After Anna spent
45 of her money and Dana spent $76, the ratio of Dana's money became 3 times as much as Anna's money. Find the ratio of Anna's money to Dana's money at first.
| |
Anna |
Dana |
| Before |
5 u |
3 u + 76 |
| Change |
- 4 u |
- 76 |
| After |
1 u |
|
| Comparing between Anna and Dana in the end |
1 u |
3 u |
Total amount that Anna and Dana had at first
= 5 u + 3 u + 76
= 8 u + 76
8 u + 76 = 460
5 u + 4 u = 460 - 76
8 u = 384
1 u = 384 ÷ 8 = 48
Amount that Anna had at first
= 5 u
= 5 x 48
= $240
Amount that Dana had at first
= 460 - 240
= $220
At first
Anna : Dana
240 : 220
12 : 11
Answer(s): 12 : 11
