George, Charlie, Warren and Jenson shared $765. Jenson received
512 of the total amount of money received by George, Charlie and Warren. George received
45 of the total amount for Charlie and Warren. Charlie received
13 as much money as Warren. If Charlie gave all his money to Jenson, how much did Jenson have more than George in the end?
George |
Charlie |
Warren |
Jenson |
Total |
12x3 |
5x3 |
17x3 |
4x4 |
5x4 |
|
|
|
1x5 |
3x5 |
|
|
16 u |
5 u |
15 u |
15 u |
51 u |
The total amount that Charlie and Warren have is repeated. Make the total amount of Charlie and Warren the same. LCM of 4 and 5 is 20.
The total amount that George, Charlie and Warren have is repeated. Make the total amount of George, Charlie and Warren the same. LCM of 36 and 12 is 36.
Total amount that George, Charlie, Warren and Jenson shared = 51 u
51 u = 765
1 u = 765 ÷ 51 = 15
|
George |
Charlie |
Warren |
Jenson |
Before |
16 u |
5 u |
15 u |
15 u |
Change |
|
- 5 u |
|
+ 5 u |
After |
16 u |
0 u |
15 u |
20 u |
Amount that Jenson had if Charlie gave him all his money
= 15 u + 5 u
= 20 u
Amount that Jenson had more than George
= 20 u - 16 u
= 4 u
= 4 x 15
= $60
Answer(s): $60