Sam, Jenson, Seth and Reggie shared $330. Reggie received
14 of the total amount of money received by Sam, Jenson and Seth. Sam received
35 of the total amount for Jenson and Seth. Jenson received
12 as much money as Seth. If Jenson gave all his money to Reggie, how much did Reggie have more than Sam in the end?
Sam |
Jenson |
Seth |
Reggie |
Total |
4x6 |
1x6 |
5x6 |
3x3 |
5x3 |
|
|
|
1x5 |
2x5 |
|
|
9 u |
5 u |
10 u |
6 u |
30 u |
The total amount that Jenson and Seth have is repeated. Make the total amount of Jenson and Seth the same. LCM of 3 and 5 is 15.
The total amount that Sam, Jenson and Seth have is repeated. Make the total amount of Sam, Jenson and Seth the same. LCM of 24 and 4 is 24.
Total amount that Sam, Jenson, Seth and Reggie shared = 30 u
30 u = 330
1 u = 330 ÷ 30 = 11
|
Sam |
Jenson |
Seth |
Reggie |
Before |
9 u |
5 u |
10 u |
6 u |
Change |
|
- 5 u |
|
+ 5 u |
After |
9 u |
0 u |
10 u |
11 u |
Amount that Reggie had if Jenson gave him all his money
= 6 u + 5 u
= 11 u
Amount that Reggie had more than Sam
= 11 u - 9 u
= 2 u
= 2 x 11
= $22
Answer(s): $22