Tom, Ahmad and Bobby shared a sum of money. Tom and Ahmad received 80% of the total amount of money. Ahmad and Bobby received 50% of the total amount of money. Given that Tom received $54 more than Bobby, how much was the sum of money that was shared by Tom and Bobby?
| Tom |
Ahmad |
Bobby |
Total |
| 4x2 |
1x2 |
5x2 |
| 1x5 |
1x5 |
2x5 |
| 5 u |
3 u |
2 u |
10 u |
80% =
80100 =
45 50% =
50100 =
12 The total amount of money that Tom, Ahmad and Bobby shared is repeated. Make the total amount of money the same. LCM of 5 and 2 is 10.
Amount that Tom received more than Bobby
= 5 u - 2 u
= 3 u
3 u = 54
1 u = 54 ÷ 3 = 18
Amount that Tom and Bobby shared
= 5 u + 2 u
= 7 u
= 7 x 18
= $126
Answer(s): $126
