Caden, Asher and Riordan shared a sum of money. Caden and Asher received 70% of the total amount of money. Asher and Riordan received 50% of the total amount of money. Given that Asher received $51 less than Caden, how much was the sum of money that was shared by Asher and Riordan?
| Caden |
Asher |
Riordan |
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 Caden, Asher and Riordan shared is repeated. Make the total amount of money the same. LCM of 10 and 2 is 10.
Amount that Asher received less than Caden
= 5 u - 2 u
= 3 u
3 u = 51
1 u = 51 ÷ 3 = 17
Amount that Asher and Riordan shared
= 2 u + 3 u
= 5 u
= 5 x 17
= $85
Answer(s): $85
