Marion and Eva went shopping with a total of $666. After Marion spent
45 of her money and Eva spent $90, the ratio of Eva's money became 3 times as much as Marion's money. Find the ratio of Marion's money to Eva's money at first.
| |
Marion |
Eva |
| Before |
5 u |
3 u + 90 |
| Change |
- 4 u |
- 90 |
| After |
1 u |
|
| Comparing between Marion and Eva in the end |
1 u |
3 u |
Total amount that Marion and Eva had at first
= 5 u + 3 u + 90
= 8 u + 90
8 u + 90 = 666
5 u + 4 u = 666 - 90
8 u = 576
1 u = 576 ÷ 8 = 72
Amount that Marion had at first
= 5 u
= 5 x 72
= $360
Amount that Eva had at first
= 666 - 360
= $306
At first
Marion : Eva
360 : 306
20 : 17
Answer(s): 20 : 17
