Zeph, Cole and Ethan shared a sum of money. Zeph and Cole received 75% of the total amount of money. Cole and Ethan received 40% of the total amount of money. Given that Cole received $126 less than Zeph, how much was the sum of money that was shared by Cole and Ethan?
| Zeph |
Cole |
Ethan |
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 Zeph, Cole and Ethan shared is repeated. Make the total amount of money the same. LCM of 4 and 5 is 20.
Amount that Cole received less than Zeph
= 12 u - 3 u
= 9 u
9 u = 126
1 u = 126 ÷ 9 = 14
Amount that Cole and Ethan shared
= 3 u + 5 u
= 8 u
= 8 x 14
= $112
Answer(s): $112
