Caden, George and Archie shared a sum of money. Caden and George received 90% of the total amount of money. George and Archie received 40% of the total amount of money. Given that George received $27 less than Caden, how much was the sum of money that was shared by George and Archie?
| Caden |
George |
Archie |
Total |
| 9x1 |
1x1 |
10x1 |
| 3x2 |
2x2 |
5x2 |
| 6 u |
3 u |
1 u |
10 u |
90% =
90100 =
910 40% =
40100 =
25 The total amount of money that Caden, George and Archie shared is repeated. Make the total amount of money the same. LCM of 10 and 5 is 10.
Amount that George received less than Caden
= 6 u - 3 u
= 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Amount that George and Archie shared
= 3 u + 1 u
= 4 u
= 4 x 9
= $36
Answer(s): $36
