Billy, Ivan and Fred shared a sum of money. Billy and Ivan received 80% of the total amount of money. Ivan and Fred received 50% of the total amount of money. Given that Billy received $57 more than Fred, how much was the sum of money that was shared by Billy and Fred?
| Billy |
Ivan |
Fred |
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 Billy, Ivan and Fred shared is repeated. Make the total amount of money the same. LCM of 5 and 2 is 10.
Amount that Billy received more than Fred
= 5 u - 2 u
= 3 u
3 u = 57
1 u = 57 ÷ 3 = 19
Amount that Billy and Fred shared
= 5 u + 2 u
= 7 u
= 7 x 19
= $133
Answer(s): $133
