Flynn and Ian have some money. If Flynn gives $212 to Ian, the ratio of their money will be 2 : 5. If Flynn gives $614 to Ian, the ratio of their money will be 1: 4. How much does Flynn have?
| |
Case 1 |
Case 2 |
| |
Flynn |
Ian |
Flynn |
Ian |
| Before |
10 u + $212 |
25 u - $212 |
7 u + $614 |
28 u - $614 |
| Change |
- $212 |
+ $212 |
- $614 |
+ $614 |
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 + 212 = 7 u + 614
10 u - 7 u = 614 - 212
3 u = 402
1 u = 402 ÷ 3 = 134
Amount that Flynn has
= 10 u + 212
= 10 x 134 + 212
= 1340 + 212
= $1552
Answer(s): $1552
