Andy and Michael have some money. If Andy gives $230 to Michael, the ratio of their money will be 2 : 5. If Andy gives $602 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 + $230 |
25 u - $230 |
7 u + $602 |
28 u - $602 |
Change |
- $230 |
+ $230 |
- $602 |
+ $602 |
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 + 230 = 7 u + 602
10 u - 7 u = 602 - 230
3 u = 372
1 u = 372 ÷ 3 = 124
Amount that Andy has
= 10 u + 230
= 10 x 124 + 230
= 1240 + 230
= $1470
Answer(s): $1470