At a school carnival, each girl received 2 packets of caramel apples and each boy received 3 packets of caramel apples. Each accompanying adult received 5 packets of caramel apples. ⁴₉ 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 3 : 8. Given that only 3700 packets of caramel apples were given away, how many people were there at the carnival?

Girls	Boys	Adults
5x11 = 55 u		4x11 = 44 u
3x5 = 15 u	8x5 = 40 u	44 u

	Girls	Boys	Adults
Number	15 u	40 u	44 u
Value	2	3	5
Total Value	30 u	120 u	220 u

Fraction of the people who were children
= 1 - ⁴₉
= ⁵₉

The number of children is the combined repeated identity. Make the number of children the same.  LCM of 11 and 5 is 55. 

Number of packets of caramel apples given away
= 15 u x 2 + 40 u x 3 + 44 u x 5
= 30 u + 120 u + 220 u
= 370 u

370 u = 3700

1 u = 3700 ÷ 370 = 10

Number of people at the carnival
= 55 u + 44 u
= 99 u
= 99 x 10
= 990

Answer(s): 990