Bryan and Tim have some money. If Bryan gives $145 to Tim, the ratio of their money will be 3 : 5. If Bryan gives $481 to Tim, the ratio of their money will be 1: 4. How much does Bryan have?
| |
Case 1 |
Case 2 |
| |
Bryan |
Tim |
Bryan |
Tim |
| Before |
15 u + $145 |
25 u - $145 |
8 u + $481 |
32 u - $481 |
| Change |
- $145 |
+ $145 |
- $481 |
+ $481 |
After
|
3x5 =
15 u |
5x5 =
25 u |
1x8 =
8 u |
4x8 =
32 u |
The total amounts in both cases remain unchanged. Make the total amounts in both cases the same. LCM of 8 and 5 is 40.
The amount that Bryan has at first is the same in both cases.
15 u + 145 = 8 u + 481
15 u - 8 u = 481 - 145
7 u = 336
1 u = 336 ÷ 7 = 48
Amount that Bryan has
= 15 u + 145
= 15 x 48 + 145
= 720 + 145
= $865
Answer(s): $865
