Asher and Oliver have some money. If Asher gives $121 to Oliver, the ratio of their money will be 2 : 5. If Asher gives $664 to Oliver, the ratio of their money will be 1: 4. How much does Asher have?
| |
Case 1 |
Case 2 |
| |
Asher |
Oliver |
Asher |
Oliver |
| Before |
10 u + $121 |
25 u - $121 |
7 u + $664 |
28 u - $664 |
| Change |
- $121 |
+ $121 |
- $664 |
+ $664 |
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 + 121 = 7 u + 664
10 u - 7 u = 664 - 121
3 u = 543
1 u = 543 ÷ 3 = 181
Amount that Asher has
= 10 u + 121
= 10 x 181 + 121
= 1810 + 121
= $1931
Answer(s): $1931
