Jane and Victoria went shopping with a total of $620. After Jane spent
45 of her money and Victoria spent $60, the ratio of Victoria's money became 5 times as much as Jane's money. Find the ratio of Jane's money to Victoria's money at first.
| |
Jane |
Victoria |
| Before |
5 u |
5 u + 60 |
| Change |
- 4 u |
- 60 |
| After |
1 u |
|
| Comparing between Jane and Victoria in the end |
1 u |
5 u |
Total amount that Jane and Victoria had at first
= 5 u + 5 u + 60
= 10 u + 60
10 u + 60 = 620
5 u + 4 u = 620 - 60
10 u = 560
1 u = 560 ÷ 10 = 56
Amount that Jane had at first
= 5 u
= 5 x 56
= $280
Amount that Victoria had at first
= 620 - 280
= $340
At first
Jane : Victoria
280 : 340
14 : 17
Answer(s): 14 : 17
