Ivan, Cody, Asher and Ethan shared $56. Ethan received
25 of the total amount of money received by Ivan, Cody and Asher. Ivan received
13 of the total amount for Cody and Asher. Cody received
23 as much money as Asher. If Cody gave all his money to Ethan, how much did Ethan have more than Ivan in the end?
Ivan |
Cody |
Asher |
Ethan |
Total |
5x4 |
2x4 |
7x4 |
1x5 |
3x5 |
|
|
|
2x3 |
3x3 |
|
|
5 u |
6 u |
9 u |
8 u |
28 u |
The total amount that Cody and Asher have is repeated. Make the total amount of Cody and Asher the same. LCM of 5 and 3 is 15.
The total amount that Ivan, Cody and Asher have is repeated. Make the total amount of Ivan, Cody and Asher the same. LCM of 20 and 5 is 20.
Total amount that Ivan, Cody, Asher and Ethan shared = 28 u
28 u = 56
1 u = 56 ÷ 28 = 2
|
Ivan |
Cody |
Asher |
Ethan |
Before |
5 u |
6 u |
9 u |
8 u |
Change |
|
- 6 u |
|
+ 6 u |
After |
5 u |
0 u |
9 u |
14 u |
Amount that Ethan had if Cody gave him all his money
= 8 u + 6 u
= 14 u
Amount that Ethan had more than Ivan
= 14 u - 5 u
= 9 u
= 9 x 2
= $18
Answer(s): $18