Seth and Oscar have some money. If Seth gives $232 to Oscar, the ratio of their money will be 2 : 5. If Seth gives $532 to Oscar, the ratio of their money will be 1: 4. How much does Seth have?
| |
Case 1 |
Case 2 |
| |
Seth |
Oscar |
Seth |
Oscar |
| Before |
10 u + $232 |
25 u - $232 |
7 u + $532 |
28 u - $532 |
| Change |
- $232 |
+ $232 |
- $532 |
+ $532 |
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 Seth has at first is the same in both cases.
10 u + 232 = 7 u + 532
10 u - 7 u = 532 - 232
3 u = 300
1 u = 300 ÷ 3 = 100
Amount that Seth has
= 10 u + 232
= 10 x 100 + 232
= 1000 + 232
= $1232
Answer(s): $1232
