Lee and Fred have some money. If Lee gives $265 to Fred, the ratio of their money will be 2 : 5. If Lee gives $607 to Fred, the ratio of their money will be 1: 4. How much does Lee have?
| |
Case 1 |
Case 2 |
| |
Lee |
Fred |
Lee |
Fred |
| Before |
10 u + $265 |
25 u - $265 |
7 u + $607 |
28 u - $607 |
| Change |
- $265 |
+ $265 |
- $607 |
+ $607 |
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 + 265 = 7 u + 607
10 u - 7 u = 607 - 265
3 u = 342
1 u = 342 ÷ 3 = 114
Amount that Lee has
= 10 u + 265
= 10 x 114 + 265
= 1140 + 265
= $1405
Answer(s): $1405
