Betty and Emily went shopping with a total of $676. After Betty spent
56 of her money and Emily spent $91, the ratio of Emily's money became 3 times as much as Betty's money. Find the ratio of Betty's money to Emily's money at first.
| |
Betty |
Emily |
| Before |
6 u |
3 u + 91 |
| Change |
- 5 u |
- 91 |
| After |
1 u |
|
| Comparing between Betty and Emily in the end |
1 u |
3 u |
Total amount that Betty and Emily had at first
= 6 u + 3 u + 91
= 9 u + 91
9 u + 91 = 676
6 u + 5 u = 676 - 91
9 u = 585
1 u = 585 ÷ 9 = 65
Amount that Betty had at first
= 6 u
= 6 x 65
= $390
Amount that Emily had at first
= 676 - 390
= $286
At first
Betty : Emily
390 : 286
15 : 11
Answer(s): 15 : 11
