Jenson, Mark, Dylan and Ryan shared $780. Ryan received
112 of the total amount of money received by Jenson, Mark and Dylan. Jenson received
45 of the total amount for Mark and Dylan. Mark received
13 as much money as Dylan. If Dylan gave all his money to Ryan, how much did Ryan have more than Mark in the end?
Jenson |
Mark |
Dylan |
Ryan |
Total |
12x3 |
1x3 |
13x3 |
4x4 |
5x4 |
|
|
|
1x5 |
3x5 |
|
|
16 u |
5 u |
15 u |
3 u |
39 u |
The total amount that Mark and Dylan have is repeated. Make the total amount of Mark and Dylan the same. LCM of 4 and 5 is 20.
The total amount that Jenson, Mark and Dylan have is repeated. Make the total amount of Jenson, Mark and Dylan the same. LCM of 36 and 12 is 36.
Total amount that Jenson, Mark, Dylan and Ryan shared = 39 u
39 u = 780
1 u = 780 ÷ 39 = 20
|
Jenson |
Mark |
Dylan |
Ryan |
Before |
16 u |
5 u |
15 u |
3 u |
Change |
|
|
- 15 u |
+ 15 u |
After |
16 u |
5 u |
0 u |
18 u |
Amount that Ryan had if Dylan gave him all his money
= 3 u + 15 u
= 18 u
Amount that Ryan had more than Mark
= 18 u - 5 u
= 13 u
= 13 x 20
= $260
Answer(s): $260