Carl and Warren have some money. If Carl gives $140 to Warren, the ratio of their money will be 3 : 5. If Carl gives $658 to Warren, the ratio of their money will be 1: 4. How much does Carl have?
| |
Case 1 |
Case 2 |
| |
Carl |
Warren |
Carl |
Warren |
| Before |
15 u + $140 |
25 u - $140 |
8 u + $658 |
32 u - $658 |
| Change |
- $140 |
+ $140 |
- $658 |
+ $658 |
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 Carl has at first is the same in both cases.
15 u + 140 = 8 u + 658
15 u - 8 u = 658 - 140
7 u = 518
1 u = 518 ÷ 7 = 74
Amount that Carl has
= 15 u + 140
= 15 x 74 + 140
= 1110 + 140
= $1250
Answer(s): $1250
