Jane and Tiffany went shopping with a total of $754. After Jane spent
56 of her money and Tiffany spent $52, the ratio of Tiffany's money became 3 times as much as Jane's money. Find the ratio of Jane's money to Tiffany's money at first.
| |
Jane |
Tiffany |
| Before |
6 u |
3 u + 52 |
| Change |
- 5 u |
- 52 |
| After |
1 u |
|
| Comparing between Jane and Tiffany in the end |
1 u |
3 u |
Total amount that Jane and Tiffany had at first
= 6 u + 3 u + 52
= 9 u + 52
9 u + 52 = 754
6 u + 5 u = 754 - 52
9 u = 702
1 u = 702 ÷ 9 = 78
Amount that Jane had at first
= 6 u
= 6 x 78
= $468
Amount that Tiffany had at first
= 754 - 468
= $286
At first
Jane : Tiffany
468 : 286
18 : 11
Answer(s): 18 : 11
