Carl, Liam and Perry shared a sum of money. Carl and Liam received 80% of the total amount of money. Liam and Perry received 50% of the total amount of money. Given that Liam received $18 less than Carl, how much was the sum of money that was shared by Liam and Perry?
| Carl |
Liam |
Perry |
Total |
| 4x2 |
1x2 |
5x2 |
| 1x5 |
1x5 |
2x5 |
| 5 u |
3 u |
2 u |
10 u |
80% =
80100 =
45 50% =
50100 =
12 The total amount of money that Carl, Liam and Perry shared is repeated. Make the total amount of money the same. LCM of 5 and 2 is 10.
Amount that Liam received less than Carl
= 5 u - 3 u
= 2 u
2 u = 18
1 u = 18 ÷ 2 = 9
Amount that Liam and Perry shared
= 3 u + 2 u
= 5 u
= 5 x 9
= $45
Answer(s): $45
