George, Peter and Carl shared a sum of money. George and Peter received 70% of the total amount of money. Peter and Carl received 50% of the total amount of money. Given that Peter received $30 less than George, how much was the sum of money that was shared by Peter and Carl?
| George |
Peter |
Carl |
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 George, Peter and Carl shared is repeated. Make the total amount of money the same. LCM of 10 and 2 is 10.
Amount that Peter received less than George
= 5 u - 2 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Amount that Peter and Carl shared
= 2 u + 3 u
= 5 u
= 5 x 10
= $50
Answer(s): $50
