Betty and Usha went shopping with a total of $738. After Betty spent
45 of her money and Usha spent $82, the ratio of Usha's money became 3 times as much as Betty's money. Find the ratio of Betty's money to Usha's money at first.
| |
Betty |
Usha |
| Before |
5 u |
3 u + 82 |
| Change |
- 4 u |
- 82 |
| After |
1 u |
|
| Comparing between Betty and Usha in the end |
1 u |
3 u |
Total amount that Betty and Usha had at first
= 5 u + 3 u + 82
= 8 u + 82
8 u + 82 = 738
5 u + 4 u = 738 - 82
8 u = 656
1 u = 656 ÷ 8 = 82
Amount that Betty had at first
= 5 u
= 5 x 82
= $410
Amount that Usha had at first
= 738 - 410
= $328
At first
Betty : Usha
410 : 328
5 : 4
Answer(s): 5 : 4
