Andy and Oscar have some money. If Andy gives $118 to Oscar, the ratio of their money will be 2 : 5. If Andy gives $652 to Oscar, the ratio of their money will be 1: 4. How much does Andy have?
| |
Case 1 |
Case 2 |
| |
Andy |
Oscar |
Andy |
Oscar |
| Before |
10 u + $118 |
25 u - $118 |
7 u + $652 |
28 u - $652 |
| Change |
- $118 |
+ $118 |
- $652 |
+ $652 |
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 Andy has at first is the same in both cases.
10 u + 118 = 7 u + 652
10 u - 7 u = 652 - 118
3 u = 534
1 u = 534 ÷ 3 = 178
Amount that Andy has
= 10 u + 118
= 10 x 178 + 118
= 1780 + 118
= $1898
Answer(s): $1898
