Vaidev and Asher have some money. If Vaidev gives $333 to Asher, the ratio of their money will be 3 : 5. If Vaidev gives $620 to Asher, the ratio of their money will be 1: 4. How much does Vaidev have?
| |
Case 1 |
Case 2 |
| |
Vaidev |
Asher |
Vaidev |
Asher |
| Before |
15 u + $333 |
25 u - $333 |
8 u + $620 |
32 u - $620 |
| Change |
- $333 |
+ $333 |
- $620 |
+ $620 |
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 Vaidev has at first is the same in both cases.
15 u + 333 = 8 u + 620
15 u - 8 u = 620 - 333
7 u = 287
1 u = 287 ÷ 7 = 41
Amount that Vaidev has
= 15 u + 333
= 15 x 41 + 333
= 615 + 333
= $948
Answer(s): $948
