Opal and Betty went shopping with a total of $594. After Opal spent
34 of her money and Betty spent $27, the ratio of Betty's money became 3 times as much as Opal's money. Find the ratio of Opal's money to Betty's money at first.
| |
Opal |
Betty |
| Before |
4 u |
3 u + 27 |
| Change |
- 3 u |
- 27 |
| After |
1 u |
|
| Comparing between Opal and Betty in the end |
1 u |
3 u |
Total amount that Opal and Betty had at first
= 4 u + 3 u + 27
= 7 u + 27
7 u + 27 = 594
4 u + 3 u = 594 - 27
7 u = 567
1 u = 567 ÷ 7 = 81
Amount that Opal had at first
= 4 u
= 4 x 81
= $324
Amount that Betty had at first
= 594 - 324
= $270
At first
Opal : Betty
324 : 270
6 : 5
Answer(s): 6 : 5
