Jack and Vaidev have some money. If Jack gives $271 to Vaidev, the ratio of their money will be 3 : 5. If Jack gives $530 to Vaidev, the ratio of their money will be 1: 4. How much does Jack have?
| |
Case 1 |
Case 2 |
| |
Jack |
Vaidev |
Jack |
Vaidev |
| Before |
15 u + $271 |
25 u - $271 |
8 u + $530 |
32 u - $530 |
| Change |
- $271 |
+ $271 |
- $530 |
+ $530 |
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 Jack has at first is the same in both cases.
15 u + 271 = 8 u + 530
15 u - 8 u = 530 - 271
7 u = 259
1 u = 259 ÷ 7 = 37
Amount that Jack has
= 15 u + 271
= 15 x 37 + 271
= 555 + 271
= $826
Answer(s): $826
