Andy and Michael have some money. If Andy gives $106 to Michael, the ratio of their money will be 2 : 5. If Andy gives $631 to Michael, the ratio of their money will be 1: 4. How much does Andy have?
| |
Case 1 |
Case 2 |
| |
Andy |
Michael |
Andy |
Michael |
| Before |
10 u + $106 |
25 u - $106 |
7 u + $631 |
28 u - $631 |
| Change |
- $106 |
+ $106 |
- $631 |
+ $631 |
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 + 106 = 7 u + 631
10 u - 7 u = 631 - 106
3 u = 525
1 u = 525 ÷ 3 = 175
Amount that Andy has
= 10 u + 106
= 10 x 175 + 106
= 1750 + 106
= $1856
Answer(s): $1856
