Fred, John and Fabian shared a sum of money. Fred and John received 75% of the total amount of money. John and Fabian received 40% of the total amount of money. Given that John received $144 less than Fred, how much was the sum of money that was shared by John and Fabian?
| Fred |
John |
Fabian |
Total |
| 3x5 |
1x5 |
4x5 |
| 3x4 |
2x4 |
5x4 |
| 12 u |
3 u |
5 u |
20 u |
75% =
75100 =
34 40% =
40100 =
25 The total amount of money that Fred, John and Fabian shared is repeated. Make the total amount of money the same. LCM of 4 and 5 is 20.
Amount that John received less than Fred
= 12 u - 3 u
= 9 u
9 u = 144
1 u = 144 ÷ 9 = 16
Amount that John and Fabian shared
= 3 u + 5 u
= 8 u
= 8 x 16
= $128
Answer(s): $128
