Oscar and Eric have some money. If Oscar gives $128 to Eric, the ratio of their money will be 3 : 5. If Oscar gives $534 to Eric, the ratio of their money will be 1: 4. How much does Oscar have?
| |
Case 1 |
Case 2 |
| |
Oscar |
Eric |
Oscar |
Eric |
| Before |
15 u + $128 |
25 u - $128 |
8 u + $534 |
32 u - $534 |
| Change |
- $128 |
+ $128 |
- $534 |
+ $534 |
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 + 128 = 8 u + 534
15 u - 8 u = 534 - 128
7 u = 406
1 u = 406 ÷ 7 = 58
Amount that Oscar has
= 15 u + 128
= 15 x 58 + 128
= 870 + 128
= $998
Answer(s): $998
