Carl, Ivan, Riordan and Asher shared $392. Asher received
16 of the total amount of money received by Carl, Ivan and Riordan. Carl received
35 of the total amount for Ivan and Riordan. Ivan received
12 as much money as Riordan. If Riordan gave all his money to Asher, how much did Asher have more than Ivan in the end?
Carl |
Ivan |
Riordan |
Asher |
Total |
6x4 |
1x4 |
7x4 |
3x3 |
5x3 |
|
|
|
1x5 |
2x5 |
|
|
9 u |
5 u |
10 u |
4 u |
28 u |
The total amount that Ivan and Riordan have is repeated. Make the total amount of Ivan and Riordan the same. LCM of 3 and 5 is 15.
The total amount that Carl, Ivan and Riordan have is repeated. Make the total amount of Carl, Ivan and Riordan the same. LCM of 24 and 6 is 24.
Total amount that Carl, Ivan, Riordan and Asher shared = 28 u
28 u = 392
1 u = 392 ÷ 28 = 14
|
Carl |
Ivan |
Riordan |
Asher |
Before |
9 u |
5 u |
10 u |
4 u |
Change |
|
|
- 10 u |
+ 10 u |
After |
9 u |
5 u |
0 u |
14 u |
Amount that Asher had if Riordan gave him all his money
= 4 u + 10 u
= 14 u
Amount that Asher had more than Ivan
= 14 u - 5 u
= 9 u
= 9 x 14
= $126
Answer(s): $126