Sam, Fred and Elijah shared a sum of money. Sam and Fred received 90% of the total amount of money. Fred and Elijah received 40% of the total amount of money. Given that Sam received $65 more than Elijah, how much was the sum of money that was shared by Sam and Elijah?
| Sam |
Fred |
Elijah |
Total |
| 9x1 |
1x1 |
10x1 |
| 3x2 |
2x2 |
5x2 |
| 6 u |
3 u |
1 u |
10 u |
90% =
90100 =
910 40% =
40100 =
25 The total amount of money that Sam, Fred and Elijah shared is repeated. Make the total amount of money the same. LCM of 10 and 5 is 10.
Amount that Sam received more than Elijah
= 6 u - 1 u
= 5 u
5 u = 65
1 u = 65 ÷ 5 = 13
Amount that Sam and Elijah shared
= 6 u + 1 u
= 7 u
= 7 x 13
= $91
Answer(s): $91
