Sean, Luke and Perry shared a sum of money. Sean and Luke received 90% of the total amount of money. Luke and Perry received 50% of the total amount of money. Given that Sean received $20 more than Perry, how much was the sum of money that was shared by Sean and Perry?
| Sean |
Luke |
Perry |
Total |
| 9x1 |
1x1 |
10x1 |
| 1x5 |
1x5 |
2x5 |
| 5 u |
4 u |
1 u |
10 u |
90% =
90100 =
910 50% =
50100 =
12 The total amount of money that Sean, Luke and Perry shared is repeated. Make the total amount of money the same. LCM of 10 and 2 is 10.
Amount that Sean received more than Perry
= 5 u - 1 u
= 4 u
4 u = 20
1 u = 20 ÷ 4 = 5
Amount that Sean and Perry shared
= 5 u + 1 u
= 6 u
= 6 x 5
= $30
Answer(s): $30
