Henry and Fabian have some money. If Henry gives $137 to Fabian, the ratio of their money will be 3 : 5. If Henry gives $655 to Fabian, the ratio of their money will be 1: 4. How much does Henry have?
| |
Case 1 |
Case 2 |
| |
Henry |
Fabian |
Henry |
Fabian |
| Before |
15 u + $137 |
25 u - $137 |
8 u + $655 |
32 u - $655 |
| Change |
- $137 |
+ $137 |
- $655 |
+ $655 |
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 Henry has at first is the same in both cases.
15 u + 137 = 8 u + 655
15 u - 8 u = 655 - 137
7 u = 518
1 u = 518 ÷ 7 = 74
Amount that Henry has
= 15 u + 137
= 15 x 74 + 137
= 1110 + 137
= $1247
Answer(s): $1247
