Asher and Warren have some money. If Asher gives $360 to Warren, the ratio of their money will be 3 : 5. If Asher gives $682 to Warren, the ratio of their money will be 1: 4. How much does Asher have?
| |
Case 1 |
Case 2 |
| |
Asher |
Warren |
Asher |
Warren |
| Before |
15 u + $360 |
25 u - $360 |
8 u + $682 |
32 u - $682 |
| Change |
- $360 |
+ $360 |
- $682 |
+ $682 |
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 Asher has at first is the same in both cases.
15 u + 360 = 8 u + 682
15 u - 8 u = 682 - 360
7 u = 322
1 u = 322 ÷ 7 = 46
Amount that Asher has
= 15 u + 360
= 15 x 46 + 360
= 690 + 360
= $1050
Answer(s): $1050
