Fanny and Tiffany went shopping with a total of $644. After Fanny spent
56 of her money and Tiffany spent $28, the ratio of Tiffany's money became 5 times as much as Fanny's money. Find the ratio of Fanny's money to Tiffany's money at first.
| |
Fanny |
Tiffany |
| Before |
6 u |
5 u + 28 |
| Change |
- 5 u |
- 28 |
| After |
1 u |
|
| Comparing between Fanny and Tiffany in the end |
1 u |
5 u |
Total amount that Fanny and Tiffany had at first
= 6 u + 5 u + 28
= 11 u + 28
11 u + 28 = 644
6 u + 5 u = 644 - 28
11 u = 616
1 u = 616 ÷ 11 = 56
Amount that Fanny had at first
= 6 u
= 6 x 56
= $336
Amount that Tiffany had at first
= 644 - 336
= $308
At first
Fanny : Tiffany
336 : 308
12 : 11
Answer(s): 12 : 11
