Marion and Fanny went shopping with a total of $407. After Marion spent
45 of her money and Fanny spent $55, the ratio of Fanny's money became 3 times as much as Marion's money. Find the ratio of Marion's money to Fanny's money at first.
| |
Marion |
Fanny |
| Before |
5 u |
3 u + 55 |
| Change |
- 4 u |
- 55 |
| After |
1 u |
|
| Comparing between Marion and Fanny in the end |
1 u |
3 u |
Total amount that Marion and Fanny had at first
= 5 u + 3 u + 55
= 8 u + 55
8 u + 55 = 407
5 u + 4 u = 407 - 55
8 u = 352
1 u = 352 ÷ 8 = 44
Amount that Marion had at first
= 5 u
= 5 x 44
= $220
Amount that Fanny had at first
= 407 - 220
= $187
At first
Marion : Fanny
220 : 187
20 : 17
Answer(s): 20 : 17
