Bryan and Warren have some money. If Bryan gives $147 to Warren, the ratio of their money will be 2 : 5. If Bryan gives $561 to Warren, the ratio of their money will be 1: 4. How much does Bryan have?
|
Case 1 |
Case 2 |
|
Bryan |
Warren |
Bryan |
Warren |
Before |
10 u + $147 |
25 u - $147 |
7 u + $561 |
28 u - $561 |
Change |
- $147 |
+ $147 |
- $561 |
+ $561 |
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 Bryan has at first is the same in both cases.
10 u + 147 = 7 u + 561
10 u - 7 u = 561 - 147
3 u = 414
1 u = 414 ÷ 3 = 138
Amount that Bryan has
= 10 u + 147
= 10 x 138 + 147
= 1380 + 147
= $1527
Answer(s): $1527