Carl and Vincent have some money. If Carl gives $159 to Vincent, the ratio of their money will be 2 : 5. If Carl gives $615 to Vincent, the ratio of their money will be 1: 4. How much does Carl have?
| |
Case 1 |
Case 2 |
| |
Carl |
Vincent |
Carl |
Vincent |
| Before |
10 u + $159 |
25 u - $159 |
7 u + $615 |
28 u - $615 |
| Change |
- $159 |
+ $159 |
- $615 |
+ $615 |
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 Carl has at first is the same in both cases.
10 u + 159 = 7 u + 615
10 u - 7 u = 615 - 159
3 u = 456
1 u = 456 ÷ 3 = 152
Amount that Carl has
= 10 u + 159
= 10 x 152 + 159
= 1520 + 159
= $1679
Answer(s): $1679
