Bryan, Jenson and Bobby shared a sum of money. Bryan and Jenson received 90% of the total amount of money. Jenson and Bobby received 40% of the total amount of money. Given that Bryan received $40 more than Bobby, how much was the sum of money that was shared by Bryan and Bobby?
| Bryan |
Jenson |
Bobby |
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 Bryan, Jenson and Bobby shared is repeated. Make the total amount of money the same. LCM of 10 and 5 is 10.
Amount that Bryan received more than Bobby
= 6 u - 1 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
Amount that Bryan and Bobby shared
= 6 u + 1 u
= 7 u
= 7 x 8
= $56
Answer(s): $56
