Daniel, Ben, Riordan and Glen shared $420. Glen received
14 of the total amount of money received by Daniel, Ben and Riordan. Daniel received
35 of the total amount for Ben and Riordan. Ben received
12 as much money as Riordan. If Riordan gave all his money to Glen, how much did Glen have more than Ben in the end?
Daniel |
Ben |
Riordan |
Glen |
Total |
4x6 |
1x6 |
5x6 |
3x3 |
5x3 |
|
|
|
1x5 |
2x5 |
|
|
9 u |
5 u |
10 u |
6 u |
30 u |
The total amount that Ben and Riordan have is repeated. Make the total amount of Ben and Riordan the same. LCM of 3 and 5 is 15.
The total amount that Daniel, Ben and Riordan have is repeated. Make the total amount of Daniel, Ben and Riordan the same. LCM of 24 and 4 is 24.
Total amount that Daniel, Ben, Riordan and Glen shared = 30 u
30 u = 420
1 u = 420 ÷ 30 = 14
|
Daniel |
Ben |
Riordan |
Glen |
Before |
9 u |
5 u |
10 u |
6 u |
Change |
|
|
- 10 u |
+ 10 u |
After |
9 u |
5 u |
0 u |
16 u |
Amount that Glen had if Riordan gave him all his money
= 6 u + 10 u
= 16 u
Amount that Glen had more than Ben
= 16 u - 5 u
= 11 u
= 11 x 14
= $154
Answer(s): $154