Emma and Victoria went shopping with a total of $799. After Emma spent
56 of her money and Victoria spent $34, the ratio of Victoria's money became 3 times as much as Emma's money. Find the ratio of Emma's money to Victoria's money at first.
| |
Emma |
Victoria |
| Before |
6 u |
3 u + 34 |
| Change |
- 5 u |
- 34 |
| After |
1 u |
|
| Comparing between Emma and Victoria in the end |
1 u |
3 u |
Total amount that Emma and Victoria had at first
= 6 u + 3 u + 34
= 9 u + 34
9 u + 34 = 799
6 u + 5 u = 799 - 34
9 u = 765
1 u = 765 ÷ 9 = 85
Amount that Emma had at first
= 6 u
= 6 x 85
= $510
Amount that Victoria had at first
= 799 - 510
= $289
At first
Emma : Victoria
510 : 289
30 : 17
Answer(s): 30 : 17
