Bryan and Jack have some money. If Bryan gives $347 to Jack, the ratio of their money will be 2 : 5. If Bryan gives $626 to Jack, the ratio of their money will be 1: 4. How much does Bryan have?
|
Case 1 |
Case 2 |
|
Bryan |
Jack |
Bryan |
Jack |
Before |
10 u + $347 |
25 u - $347 |
7 u + $626 |
28 u - $626 |
Change |
- $347 |
+ $347 |
- $626 |
+ $626 |
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 + 347 = 7 u + 626
10 u - 7 u = 626 - 347
3 u = 279
1 u = 279 ÷ 3 = 93
Amount that Bryan has
= 10 u + 347
= 10 x 93 + 347
= 930 + 347
= $1277
Answer(s): $1277