At a school carnival, each boy received 2 packets of chocolate bars and each girl received 4 packets of chocolate bars. Each accompanying adult received 6 packets of chocolate bars. ²₉ of the people at the school carnival were adults. The ratio of the number of boys to the number of girls at the carnival was 5 : 8. Given that only 3600 packets of chocolate bars were given away, how many people were there at the carnival?

Boys	Girls	Adults
7x13 = 91 u		2x13 = 26 u
5x7 = 35 u	8x7 = 56 u	26 u

	Boys	Girls	Adults
Number	35 u	56 u	26 u
Value	2	4	6
Total Value	70 u	224 u	156 u

Fraction of the people who were children
= 1 - ²₉
= ⁷₉

The number of children is the combined repeated identity. Make the number of children the same.  LCM of 13 and 7 is 91. 

Number of packets of chocolate bars given away
= 35 u x 2 + 56 u x 4 + 26 u x 6
= 70 u + 224 u + 156 u
= 450 u

450 u = 3600

1 u = 3600 ÷ 450 = 8

Number of people at the carnival
= 91 u + 26 u
= 117 u
= 117 x 8
= 936

Answer(s): 936