Bobby and Jeremy have some money. If Bobby gives $308 to Jeremy, the ratio of their money will be 3 : 5. If Bobby gives $581 to Jeremy, the ratio of their money will be 1: 4. How much does Bobby have?
| |
Case 1 |
Case 2 |
| |
Bobby |
Jeremy |
Bobby |
Jeremy |
| Before |
15 u + $308 |
25 u - $308 |
8 u + $581 |
32 u - $581 |
| Change |
- $308 |
+ $308 |
- $581 |
+ $581 |
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 Bobby has at first is the same in both cases.
15 u + 308 = 8 u + 581
15 u - 8 u = 581 - 308
7 u = 273
1 u = 273 ÷ 7 = 39
Amount that Bobby has
= 15 u + 308
= 15 x 39 + 308
= 585 + 308
= $893
Answer(s): $893
