Asher and Andy have some money. If Asher gives $137 to Andy, the ratio of their money will be 2 : 5. If Asher gives $650 to Andy, the ratio of their money will be 1: 4. How much does Asher have?
| |
Case 1 |
Case 2 |
| |
Asher |
Andy |
Asher |
Andy |
| Before |
10 u + $137 |
25 u - $137 |
7 u + $650 |
28 u - $650 |
| Change |
- $137 |
+ $137 |
- $650 |
+ $650 |
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 Asher has at first is the same in both cases.
10 u + 137 = 7 u + 650
10 u - 7 u = 650 - 137
3 u = 513
1 u = 513 ÷ 3 = 171
Amount that Asher has
= 10 u + 137
= 10 x 171 + 137
= 1710 + 137
= $1847
Answer(s): $1847
