Howard, Gabriel and Reggie shared a sum of money. Howard and Gabriel received 70% of the total amount of money. Gabriel and Reggie received 50% of the total amount of money. Given that Gabriel received $6 less than Howard, how much was the sum of money that was shared by Gabriel and Reggie?
| Howard |
Gabriel |
Reggie |
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 Howard, Gabriel and Reggie shared is repeated. Make the total amount of money the same. LCM of 10 and 2 is 10.
Amount that Gabriel received less than Howard
= 5 u - 2 u
= 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Amount that Gabriel and Reggie shared
= 2 u + 3 u
= 5 u
= 5 x 2
= $10
Answer(s): $10
