Fabian and Owen have some money. If Fabian gives $136 to Owen, the ratio of their money will be 3 : 5. If Fabian gives $535 to Owen, the ratio of their money will be 1: 4. How much does Fabian have?
| |
Case 1 |
Case 2 |
| |
Fabian |
Owen |
Fabian |
Owen |
| Before |
15 u + $136 |
25 u - $136 |
8 u + $535 |
32 u - $535 |
| Change |
- $136 |
+ $136 |
- $535 |
+ $535 |
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 Fabian has at first is the same in both cases.
15 u + 136 = 8 u + 535
15 u - 8 u = 535 - 136
7 u = 399
1 u = 399 ÷ 7 = 57
Amount that Fabian has
= 15 u + 136
= 15 x 57 + 136
= 855 + 136
= $991
Answer(s): $991
