Ethan, Caden and Neave shared a sum of money. Ethan and Caden received 70% of the total amount of money. Caden and Neave received 50% of the total amount of money. Given that Caden received $57 less than Ethan, how much was the sum of money that was shared by Caden and Neave?
| Ethan |
Caden |
Neave |
Total |
| 7x1 |
3x1 |
10x1 |
| 1x5 |
1x5 |
2x5 |
| 5 u |
2 u |
3 u |
10 u |
70% =
70100 =
710 50% =
50100 =
12 The total amount of money that Ethan, Caden and Neave shared is repeated. Make the total amount of money the same. LCM of 10 and 2 is 10.
Amount that Caden received less than Ethan
= 5 u - 2 u
= 3 u
3 u = 57
1 u = 57 ÷ 3 = 19
Amount that Caden and Neave shared
= 2 u + 3 u
= 5 u
= 5 x 19
= $95
Answer(s): $95
