Betty and Opal went shopping with a total of $518. After Betty spent
56 of her money and Opal spent $56, the ratio of Opal's money became 5 times as much as Betty's money. Find the ratio of Betty's money to Opal's money at first.
| |
Betty |
Opal |
| Before |
6 u |
5 u + 56 |
| Change |
- 5 u |
- 56 |
| After |
1 u |
|
| Comparing between Betty and Opal in the end |
1 u |
5 u |
Total amount that Betty and Opal had at first
= 6 u + 5 u + 56
= 11 u + 56
11 u + 56 = 518
6 u + 5 u = 518 - 56
11 u = 462
1 u = 462 ÷ 11 = 42
Amount that Betty had at first
= 6 u
= 6 x 42
= $252
Amount that Opal had at first
= 518 - 252
= $266
At first
Betty : Opal
252 : 266
18 : 19
Answer(s): 18 : 19
