Jack, Flynn, Jeremy and Sam shared $150. Sam received
14 of the total amount of money received by Jack, Flynn and Jeremy. Jack received
23 of the total amount for Flynn and Jeremy. Flynn received
13 as much money as Jeremy. If Jeremy gave all his money to Sam, how much did Sam have more than Flynn in the end?
Jack |
Flynn |
Jeremy |
Sam |
Total |
4x5 |
1x5 |
5x5 |
2x4 |
3x4 |
|
|
|
1x3 |
3x3 |
|
|
8 u |
3 u |
9 u |
5 u |
25 u |
The total amount that Flynn and Jeremy have is repeated. Make the total amount of Flynn and Jeremy the same. LCM of 4 and 3 is 12.
The total amount that Jack, Flynn and Jeremy have is repeated. Make the total amount of Jack, Flynn and Jeremy the same. LCM of 20 and 4 is 20.
Total amount that Jack, Flynn, Jeremy and Sam shared = 25 u
25 u = 150
1 u = 150 ÷ 25 = 6
|
Jack |
Flynn |
Jeremy |
Sam |
Before |
8 u |
3 u |
9 u |
5 u |
Change |
|
|
- 9 u |
+ 9 u |
After |
8 u |
3 u |
0 u |
14 u |
Amount that Sam had if Jeremy gave him all his money
= 5 u + 9 u
= 14 u
Amount that Sam had more than Flynn
= 14 u - 3 u
= 11 u
= 11 x 6
= $66
Answer(s): $66