Lee and Sam have some money. If Lee gives $114 to Sam, the ratio of their money will be 3 : 5. If Lee gives $576 to Sam, the ratio of their money will be 1: 4. How much does Lee have?
| |
Case 1 |
Case 2 |
| |
Lee |
Sam |
Lee |
Sam |
| Before |
15 u + $114 |
25 u - $114 |
8 u + $576 |
32 u - $576 |
| Change |
- $114 |
+ $114 |
- $576 |
+ $576 |
After
|
3x5 =
15 u |
5x5 =
25 u |
1x8 =
8 u |
4x8 =
32 u |
The total amounts in both cases remain unchanged. Make the total amounts in both cases the same. LCM of 8 and 5 is 40.
The amount that Lee has at first is the same in both cases.
15 u + 114 = 8 u + 576
15 u - 8 u = 576 - 114
7 u = 462
1 u = 462 ÷ 7 = 66
Amount that Lee has
= 15 u + 114
= 15 x 66 + 114
= 990 + 114
= $1104
Answer(s): $1104
