Luke, Henry and Cody shared a sum of money. Luke and Henry received 70% of the total amount of money. Henry and Cody received 50% of the total amount of money. Given that Henry received $39 less than Luke, how much was the sum of money that was shared by Henry and Cody?
| Luke |
Henry |
Cody |
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 Luke, Henry and Cody shared is repeated. Make the total amount of money the same. LCM of 10 and 2 is 10.
Amount that Henry received less than Luke
= 5 u - 2 u
= 3 u
3 u = 39
1 u = 39 ÷ 3 = 13
Amount that Henry and Cody shared
= 2 u + 3 u
= 5 u
= 5 x 13
= $65
Answer(s): $65
