Sam and Fabian have some money. If Sam gives $222 to Fabian, the ratio of their money will be 2 : 5. If Sam gives $525 to Fabian, the ratio of their money will be 1: 4. How much does Sam have?
| |
Case 1 |
Case 2 |
| |
Sam |
Fabian |
Sam |
Fabian |
| Before |
10 u + $222 |
25 u - $222 |
7 u + $525 |
28 u - $525 |
| Change |
- $222 |
+ $222 |
- $525 |
+ $525 |
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 Sam has at first is the same in both cases.
10 u + 222 = 7 u + 525
10 u - 7 u = 525 - 222
3 u = 303
1 u = 303 ÷ 3 = 101
Amount that Sam has
= 10 u + 222
= 10 x 101 + 222
= 1010 + 222
= $1232
Answer(s): $1232
