Opal and Usha went shopping with a total of $500. After Opal spent
45 of her money and Usha spent $84, the ratio of Usha's money became 3 times as much as Opal's money. Find the ratio of Opal's money to Usha's money at first.
| |
Opal |
Usha |
| Before |
5 u |
3 u + 84 |
| Change |
- 4 u |
- 84 |
| After |
1 u |
|
| Comparing between Opal and Usha in the end |
1 u |
3 u |
Total amount that Opal and Usha had at first
= 5 u + 3 u + 84
= 8 u + 84
8 u + 84 = 500
5 u + 4 u = 500 - 84
8 u = 416
1 u = 416 ÷ 8 = 52
Amount that Opal had at first
= 5 u
= 5 x 52
= $260
Amount that Usha had at first
= 500 - 260
= $240
At first
Opal : Usha
260 : 240
13 : 12
Answer(s): 13 : 12
