Jeremy, David and Fred shared a sum of money. Jeremy and David received 70% of the total amount of money. David and Fred received 50% of the total amount of money. Given that David received $45 less than Jeremy, how much was the sum of money that was shared by David and Fred?
| Jeremy |
David |
Fred |
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 Jeremy, David and Fred shared is repeated. Make the total amount of money the same. LCM of 10 and 2 is 10.
Amount that David received less than Jeremy
= 5 u - 2 u
= 3 u
3 u = 45
1 u = 45 ÷ 3 = 15
Amount that David and Fred shared
= 2 u + 3 u
= 5 u
= 5 x 15
= $75
Answer(s): $75
