Betty and Olivia went shopping with a total of $493. After Betty spent
45 of her money and Olivia spent $85, the ratio of Olivia's money became 3 times as much as Betty's money. Find the ratio of Betty's money to Olivia's money at first.
| |
Betty |
Olivia |
| Before |
5 u |
3 u + 85 |
| Change |
- 4 u |
- 85 |
| After |
1 u |
|
| Comparing between Betty and Olivia in the end |
1 u |
3 u |
Total amount that Betty and Olivia had at first
= 5 u + 3 u + 85
= 8 u + 85
8 u + 85 = 493
5 u + 4 u = 493 - 85
8 u = 408
1 u = 408 ÷ 8 = 51
Amount that Betty had at first
= 5 u
= 5 x 51
= $255
Amount that Olivia had at first
= 493 - 255
= $238
At first
Betty : Olivia
255 : 238
15 : 14
Answer(s): 15 : 14
