Lee and Wesley have some money. If Lee gives $124 to Wesley, the ratio of their money will be 2 : 5. If Lee gives $670 to Wesley, the ratio of their money will be 1: 4. How much does Lee have?
| |
Case 1 |
Case 2 |
| |
Lee |
Wesley |
Lee |
Wesley |
| Before |
10 u + $124 |
25 u - $124 |
7 u + $670 |
28 u - $670 |
| Change |
- $124 |
+ $124 |
- $670 |
+ $670 |
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 + 124 = 7 u + 670
10 u - 7 u = 670 - 124
3 u = 546
1 u = 546 ÷ 3 = 182
Amount that Lee has
= 10 u + 124
= 10 x 182 + 124
= 1820 + 124
= $1944
Answer(s): $1944
