Flynn and Peter have some money. If Flynn gives $322 to Peter, the ratio of their money will be 2 : 5. If Flynn gives $598 to Peter, the ratio of their money will be 1: 4. How much does Flynn have?
|
Case 1 |
Case 2 |
|
Flynn |
Peter |
Flynn |
Peter |
Before |
10 u + $322 |
25 u - $322 |
7 u + $598 |
28 u - $598 |
Change |
- $322 |
+ $322 |
- $598 |
+ $598 |
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 Flynn has at first is the same in both cases.
10 u + 322 = 7 u + 598
10 u - 7 u = 598 - 322
3 u = 276
1 u = 276 ÷ 3 = 92
Amount that Flynn has
= 10 u + 322
= 10 x 92 + 322
= 920 + 322
= $1242
Answer(s): $1242