Fabian and Luis have some money. If Fabian gives $192 to Luis, the ratio of their money will be 2 : 5. If Fabian gives $687 to Luis, the ratio of their money will be 1: 4. How much does Fabian have?
| |
Case 1 |
Case 2 |
| |
Fabian |
Luis |
Fabian |
Luis |
| Before |
10 u + $192 |
25 u - $192 |
7 u + $687 |
28 u - $687 |
| Change |
- $192 |
+ $192 |
- $687 |
+ $687 |
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 Fabian has at first is the same in both cases.
10 u + 192 = 7 u + 687
10 u - 7 u = 687 - 192
3 u = 495
1 u = 495 ÷ 3 = 165
Amount that Fabian has
= 10 u + 192
= 10 x 165 + 192
= 1650 + 192
= $1842
Answer(s): $1842
