Vaidev and Ahmad have some money. If Vaidev gives $241 to Ahmad, the ratio of their money will be 2 : 5. If Vaidev gives $568 to Ahmad, the ratio of their money will be 1: 4. How much does Vaidev have?
| |
Case 1 |
Case 2 |
| |
Vaidev |
Ahmad |
Vaidev |
Ahmad |
| Before |
10 u + $241 |
25 u - $241 |
7 u + $568 |
28 u - $568 |
| Change |
- $241 |
+ $241 |
- $568 |
+ $568 |
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 Vaidev has at first is the same in both cases.
10 u + 241 = 7 u + 568
10 u - 7 u = 568 - 241
3 u = 327
1 u = 327 ÷ 3 = 109
Amount that Vaidev has
= 10 u + 241
= 10 x 109 + 241
= 1090 + 241
= $1331
Answer(s): $1331
