Marion and Betty went shopping with a total of $675. After Marion spent
56 of her money and Betty spent $81, the ratio of Betty's money became 5 times as much as Marion's money. Find the ratio of Marion's money to Betty's money at first.
|
Marion |
Betty |
Before |
6 u |
5 u + 81 |
Change |
- 5 u |
- 81 |
After |
1 u |
|
Comparing between Marion and Betty in the end |
1 u |
5 u |
Total amount that Marion and Betty had at first
= 6 u + 5 u + 81
= 11 u + 81
11 u + 81 = 675
6 u + 5 u = 675 - 81
11 u = 594
1 u = 594 ÷ 11 = 54
Amount that Marion had at first
= 6 u
= 6 x 54
= $324
Amount that Betty had at first
= 675 - 324
= $351
At first
Marion : Betty
324 : 351
12 : 13
Answer(s): 12 : 13