Bryan and Mark have some money. If Bryan gives $160 to Mark, the ratio of their money will be 2 : 5. If Bryan gives $517 to Mark, the ratio of their money will be 1: 4. How much does Bryan have?
| |
Case 1 |
Case 2 |
| |
Bryan |
Mark |
Bryan |
Mark |
| Before |
10 u + $160 |
25 u - $160 |
7 u + $517 |
28 u - $517 |
| Change |
- $160 |
+ $160 |
- $517 |
+ $517 |
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 + 160 = 7 u + 517
10 u - 7 u = 517 - 160
3 u = 357
1 u = 357 ÷ 3 = 119
Amount that Bryan has
= 10 u + 160
= 10 x 119 + 160
= 1190 + 160
= $1350
Answer(s): $1350
