David, Fabian and Jenson shared a sum of money. David and Fabian received 75% of the total amount of money. Fabian and Jenson received 40% of the total amount of money. Given that David received $42 more than Jenson, how much was the sum of money that was shared by David and Jenson?
| David |
Fabian |
Jenson |
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 David, Fabian and Jenson shared is repeated. Make the total amount of money the same. LCM of 4 and 5 is 20.
Amount that David received more than Jenson
= 12 u - 5 u
= 7 u
7 u = 42
1 u = 42 ÷ 7 = 6
Amount that David and Jenson shared
= 12 u + 5 u
= 17 u
= 17 x 6
= $102
Answer(s): $102
