Michael and Warren have some money. If Michael gives $269 to Warren, the ratio of their money will be 2 : 5. If Michael gives $611 to Warren, the ratio of their money will be 1: 4. How much does Michael have?
| |
Case 1 |
Case 2 |
| |
Michael |
Warren |
Michael |
Warren |
| Before |
10 u + $269 |
25 u - $269 |
7 u + $611 |
28 u - $611 |
| Change |
- $269 |
+ $269 |
- $611 |
+ $611 |
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 Michael has at first is the same in both cases.
10 u + 269 = 7 u + 611
10 u - 7 u = 611 - 269
3 u = 342
1 u = 342 ÷ 3 = 114
Amount that Michael has
= 10 u + 269
= 10 x 114 + 269
= 1140 + 269
= $1409
Answer(s): $1409
