Peter, Albert and Perry shared a sum of money. Peter and Albert received 70% of the total amount of money. Albert and Perry received 50% of the total amount of money. Given that Peter received $10 more than Perry, how much was the sum of money that was shared by Peter and Perry?
| Peter |
Albert |
Perry |
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 Peter, Albert and Perry shared is repeated. Make the total amount of money the same. LCM of 10 and 2 is 10.
Amount that Peter received more than Perry
= 5 u - 3 u
= 2 u
2 u = 10
1 u = 10 ÷ 2 = 5
Amount that Peter and Perry shared
= 5 u + 3 u
= 8 u
= 8 x 5
= $40
Answer(s): $40
