Marion and Opal went shopping with a total of $550. After Marion spent
45 of her money and Opal spent $30, the ratio of Opal's money became 3 times as much as Marion's money. Find the ratio of Marion's money to Opal's money at first.
| |
Marion |
Opal |
| Before |
5 u |
3 u + 30 |
| Change |
- 4 u |
- 30 |
| After |
1 u |
|
| Comparing between Marion and Opal in the end |
1 u |
3 u |
Total amount that Marion and Opal had at first
= 5 u + 3 u + 30
= 8 u + 30
8 u + 30 = 550
5 u + 4 u = 550 - 30
8 u = 520
1 u = 520 ÷ 8 = 65
Amount that Marion had at first
= 5 u
= 5 x 65
= $325
Amount that Opal had at first
= 550 - 325
= $225
At first
Marion : Opal
325 : 225
13 : 9
Answer(s): 13 : 9
