Jeremy, Sean, Dylan and Jenson shared $544. Jenson received
35 of the total amount of money received by Jeremy, Sean and Dylan. Jeremy received
13 of the total amount for Sean and Dylan. Sean received
23 as much money as Dylan. If Dylan gave all his money to Jenson, how much did Jenson have more than Sean in the end?
Jeremy |
Sean |
Dylan |
Jenson |
Total |
5x4 |
3x4 |
8x4 |
1x5 |
3x5 |
|
|
|
2x3 |
3x3 |
|
|
5 u |
6 u |
9 u |
12 u |
32 u |
The total amount that Sean and Dylan have is repeated. Make the total amount of Sean and Dylan the same. LCM of 5 and 3 is 15.
The total amount that Jeremy, Sean and Dylan have is repeated. Make the total amount of Jeremy, Sean and Dylan the same. LCM of 20 and 5 is 20.
Total amount that Jeremy, Sean, Dylan and Jenson shared = 32 u
32 u = 544
1 u = 544 ÷ 32 = 17
|
Jeremy |
Sean |
Dylan |
Jenson |
Before |
5 u |
6 u |
9 u |
12 u |
Change |
|
|
- 9 u |
+ 9 u |
After |
5 u |
6 u |
0 u |
21 u |
Amount that Jenson had if Dylan gave him all his money
= 12 u + 9 u
= 21 u
Amount that Jenson had more than Sean
= 21 u - 6 u
= 15 u
= 15 x 17
= $255
Answer(s): $255