Opal and Fanny went shopping with a total of $420. After Opal spent
56 of her money and Fanny spent $42, the ratio of Fanny's money became 3 times as much as Opal's money. Find the ratio of Opal's money to Fanny's money at first.
| |
Opal |
Fanny |
| Before |
6 u |
3 u + 42 |
| Change |
- 5 u |
- 42 |
| After |
1 u |
|
| Comparing between Opal and Fanny in the end |
1 u |
3 u |
Total amount that Opal and Fanny had at first
= 6 u + 3 u + 42
= 9 u + 42
9 u + 42 = 420
6 u + 5 u = 420 - 42
9 u = 378
1 u = 378 ÷ 9 = 42
Amount that Opal had at first
= 6 u
= 6 x 42
= $252
Amount that Fanny had at first
= 420 - 252
= $168
At first
Opal : Fanny
252 : 168
3 : 2
Answer(s): 3 : 2
