Vincent, Valen and Brandon shared a sum of money. Vincent and Valen received 70% of the total amount of money. Valen and Brandon received 50% of the total amount of money. Given that Valen received $24 less than Vincent, how much was the sum of money that was shared by Valen and Brandon?
| Vincent |
Valen |
Brandon |
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 Vincent, Valen and Brandon shared is repeated. Make the total amount of money the same. LCM of 10 and 2 is 10.
Amount that Valen received less than Vincent
= 5 u - 2 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Amount that Valen and Brandon shared
= 2 u + 3 u
= 5 u
= 5 x 8
= $40
Answer(s): $40
