At a school carnival, each boy received 3 packets of sweets and each girl received 4 packets of sweets. Each accompanying adult received 5 packets of sweets. ²₅ 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 3 : 8. Given that only 932 packets of sweets were given away, how many people were there at the carnival?

Boys	Girls	Adults
3x11 = 33 u		2x11 = 22 u
3x3 = 9 u	8x3 = 24 u	22 u

	Boys	Girls	Adults
Number	9 u	24 u	22 u
Value	3	4	5
Total Value	27 u	96 u	110 u

Fraction of the people who were children
= 1 - ²₅
= ³₅

The number of children is the combined repeated identity. Make the number of children the same.  LCM of 11 and 3 is 33. 

Number of packets of sweets given away
= 9 u x 3 + 24 u x 4 + 22 u x 5
= 27 u + 96 u + 110 u
= 233 u

233 u = 932

1 u = 932 ÷ 233 = 4

Number of people at the carnival
= 33 u + 22 u
= 55 u
= 55 x 4
= 220

Answer(s): 220