At a school carnival, each girl received 3 packets of lollipops and each boy received 5 packets of lollipops. Each accompanying adult received 6 packets of lollipops. ³₇ of the people at the school carnival were adults. The ratio of the number of girls to the number of boys at the carnival was 2 : 7. Given that only 2934 packets of lollipops were given away, how many people were there at the carnival?

Girls	Boys	Adults
4x9 = 36 u		3x9 = 27 u
2x4 = 8 u	7x4 = 28 u	27 u

	Girls	Boys	Adults
Number	8 u	28 u	27 u
Value	3	5	6
Total Value	24 u	140 u	162 u

Fraction of the people who were children
= 1 - ³₇
= ⁴₇

The number of children is the combined repeated identity. Make the number of children the same.  LCM of 9 and 4 is 36. 

Number of packets of lollipops given away
= 8 u x 3 + 28 u x 5 + 27 u x 6
= 24 u + 140 u + 162 u
= 326 u

326 u = 2934

1 u = 2934 ÷ 326 = 9

Number of people at the carnival
= 36 u + 27 u
= 63 u
= 63 x 9
= 567

Answer(s): 567