Dylan and Oscar have some money. If Dylan gives $338 to Oscar, the ratio of their money will be 2 : 5. If Dylan gives $515 to Oscar, the ratio of their money will be 1: 4. How much does Dylan have?
| |
Case 1 |
Case 2 |
| |
Dylan |
Oscar |
Dylan |
Oscar |
| Before |
10 u + $338 |
25 u - $338 |
7 u + $515 |
28 u - $515 |
| Change |
- $338 |
+ $338 |
- $515 |
+ $515 |
After
|
2x5 =
10 u |
5x5 =
25 u |
1x7 =
7 u |
4x7 =
28 u |
The total amounts in both cases remain unchanged. Make the total amounts in both cases the same. LCM of 7 and 5 is 35.
The amount that Dylan has at first is the same in both cases.
10 u + 338 = 7 u + 515
10 u - 7 u = 515 - 338
3 u = 177
1 u = 177 ÷ 3 = 59
Amount that Dylan has
= 10 u + 338
= 10 x 59 + 338
= 590 + 338
= $928
Answer(s): $928
