Gabriel, Eric and Zeph shared a sum of money. Gabriel and Eric received 75% of the total amount of money. Eric and Zeph received 40% of the total amount of money. Given that Gabriel received $14 more than Zeph, how much was the sum of money that was shared by Gabriel and Zeph?
| Gabriel |
Eric |
Zeph |
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 Gabriel, Eric and Zeph shared is repeated. Make the total amount of money the same. LCM of 4 and 5 is 20.
Amount that Gabriel received more than Zeph
= 12 u - 5 u
= 7 u
7 u = 14
1 u = 14 ÷ 7 = 2
Amount that Gabriel and Zeph shared
= 12 u + 5 u
= 17 u
= 17 x 2
= $34
Answer(s): $34
