Jeremy and Ben have some money. If Jeremy gives $227 to Ben, the ratio of their money will be 2 : 5. If Jeremy gives $620 to Ben, the ratio of their money will be 1: 4. How much does Jeremy have?
|
Case 1 |
Case 2 |
|
Jeremy |
Ben |
Jeremy |
Ben |
Before |
10 u + $227 |
25 u - $227 |
7 u + $620 |
28 u - $620 |
Change |
- $227 |
+ $227 |
- $620 |
+ $620 |
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 Jeremy has at first is the same in both cases.
10 u + 227 = 7 u + 620
10 u - 7 u = 620 - 227
3 u = 393
1 u = 393 ÷ 3 = 131
Amount that Jeremy has
= 10 u + 227
= 10 x 131 + 227
= 1310 + 227
= $1537
Answer(s): $1537