Wesley, Liam, Ben and Eric shared $420. Eric received
14 of the total amount of money received by Wesley, Liam and Ben. Wesley received
35 of the total amount for Liam and Ben. Liam received
12 as much money as Ben. If Liam gave all his money to Eric, how much did Eric have more than Wesley in the end?
Wesley |
Liam |
Ben |
Eric |
Total |
4x6 |
1x6 |
5x6 |
3x3 |
5x3 |
|
|
|
1x5 |
2x5 |
|
|
9 u |
5 u |
10 u |
6 u |
30 u |
The total amount that Liam and Ben have is repeated. Make the total amount of Liam and Ben the same. LCM of 3 and 5 is 15.
The total amount that Wesley, Liam and Ben have is repeated. Make the total amount of Wesley, Liam and Ben the same. LCM of 24 and 4 is 24.
Total amount that Wesley, Liam, Ben and Eric shared = 30 u
30 u = 420
1 u = 420 ÷ 30 = 14
|
Wesley |
Liam |
Ben |
Eric |
Before |
9 u |
5 u |
10 u |
6 u |
Change |
|
- 5 u |
|
+ 5 u |
After |
9 u |
0 u |
10 u |
11 u |
Amount that Eric had if Liam gave him all his money
= 6 u + 5 u
= 11 u
Amount that Eric had more than Wesley
= 11 u - 9 u
= 2 u
= 2 x 14
= $28
Answer(s): $28