Lee and John have some money. If Lee gives $222 to John, the ratio of their money will be 3 : 5. If Lee gives $488 to John, the ratio of their money will be 1: 4. How much does Lee have?
| |
Case 1 |
Case 2 |
| |
Lee |
John |
Lee |
John |
| Before |
15 u + $222 |
25 u - $222 |
8 u + $488 |
32 u - $488 |
| Change |
- $222 |
+ $222 |
- $488 |
+ $488 |
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 + 222 = 8 u + 488
15 u - 8 u = 488 - 222
7 u = 266
1 u = 266 ÷ 7 = 38
Amount that Lee has
= 15 u + 222
= 15 x 38 + 222
= 570 + 222
= $792
Answer(s): $792
