Lee and Michael have some money. If Lee gives $149 to Michael, the ratio of their money will be 2 : 5. If Lee gives $515 to Michael, the ratio of their money will be 1: 4. How much does Lee have?
| |
Case 1 |
Case 2 |
| |
Lee |
Michael |
Lee |
Michael |
| Before |
10 u + $149 |
25 u - $149 |
7 u + $515 |
28 u - $515 |
| Change |
- $149 |
+ $149 |
- $515 |
+ $515 |
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 Lee has at first is the same in both cases.
10 u + 149 = 7 u + 515
10 u - 7 u = 515 - 149
3 u = 366
1 u = 366 ÷ 3 = 122
Amount that Lee has
= 10 u + 149
= 10 x 122 + 149
= 1220 + 149
= $1369
Answer(s): $1369
