Abi and Tiffany went shopping with a total of $465. After Abi spent
45 of her money and Tiffany spent $75, the ratio of Tiffany's money became 5 times as much as Abi's money. Find the ratio of Abi's money to Tiffany's money at first.
|
Abi |
Tiffany |
Before |
5 u |
5 u + 75 |
Change |
- 4 u |
- 75 |
After |
1 u |
|
Comparing between Abi and Tiffany in the end |
1 u |
5 u |
Total amount that Abi and Tiffany had at first
= 5 u + 5 u + 75
= 10 u + 75
10 u + 75 = 465
5 u + 4 u = 465 - 75
10 u = 390
1 u = 390 ÷ 10 = 39
Amount that Abi had at first
= 5 u
= 5 x 39
= $195
Amount that Tiffany had at first
= 465 - 195
= $270
At first
Abi : Tiffany
195 : 270
13 : 18
Answer(s): 13 : 18