Paul, Cole and Ben shared a sum of money. Paul and Cole received 70% of the total amount of money. Cole and Ben received 50% of the total amount of money. Given that Paul received $4 more than Ben, how much was the sum of money that was shared by Paul and Ben?
| Paul |
Cole |
Ben |
Total |
| 7x1 |
3x1 |
10x1 |
| 1x5 |
1x5 |
2x5 |
| 5 u |
2 u |
3 u |
10 u |
70% =
70100 =
710 50% =
50100 =
12 The total amount of money that Paul, Cole and Ben shared is repeated. Make the total amount of money the same. LCM of 10 and 2 is 10.
Amount that Paul received more than Ben
= 5 u - 3 u
= 2 u
2 u = 4
1 u = 4 ÷ 2 = 2
Amount that Paul and Ben shared
= 5 u + 3 u
= 8 u
= 8 x 2
= $16
Answer(s): $16
