Bryan and Peter have some money. If Bryan gives $197 to Peter, the ratio of their money will be 2 : 5. If Bryan gives $551 to Peter, the ratio of their money will be 1: 4. How much does Bryan have?
| |
Case 1 |
Case 2 |
| |
Bryan |
Peter |
Bryan |
Peter |
| Before |
10 u + $197 |
25 u - $197 |
7 u + $551 |
28 u - $551 |
| Change |
- $197 |
+ $197 |
- $551 |
+ $551 |
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 + 197 = 7 u + 551
10 u - 7 u = 551 - 197
3 u = 354
1 u = 354 ÷ 3 = 118
Amount that Bryan has
= 10 u + 197
= 10 x 118 + 197
= 1180 + 197
= $1377
Answer(s): $1377
