Oscar and Flynn have some money. If Oscar gives $391 to Flynn, the ratio of their money will be 3 : 5. If Oscar gives $573 to Flynn, the ratio of their money will be 1: 4. How much does Oscar have?
| |
Case 1 |
Case 2 |
| |
Oscar |
Flynn |
Oscar |
Flynn |
| Before |
15 u + $391 |
25 u - $391 |
8 u + $573 |
32 u - $573 |
| Change |
- $391 |
+ $391 |
- $573 |
+ $573 |
After
|
3x5 =
15 u |
5x5 =
25 u |
1x8 =
8 u |
4x8 =
32 u |
The total amounts in both cases remain unchanged. Make the total amounts in both cases the same. LCM of 8 and 5 is 40.
The amount that Oscar has at first is the same in both cases.
15 u + 391 = 8 u + 573
15 u - 8 u = 573 - 391
7 u = 182
1 u = 182 ÷ 7 = 26
Amount that Oscar has
= 15 u + 391
= 15 x 26 + 391
= 390 + 391
= $781
Answer(s): $781
