At a school carnival, each girl received 3 packets of sweets and each boy received 4 packets of sweets. Each accompanying adult received 6 packets of sweets. 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 : 5. Given that only 1840 packets of sweets were given away, how many people were there at the carnival?

Girls	Boys	Adults
4x7 = 28 u		3x7 = 21 u
2x4 = 8 u	5x4 = 20 u	21 u

	Girls	Boys	Adults
Number	8 u	20 u	21 u
Value	3	4	6
Total Value	24 u	80 u	126 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 7 and 4 is 28. 

Number of packets of sweets given away
= 8 u x 3 + 20 u x 4 + 21 u x 6
= 24 u + 80 u + 126 u
= 230 u

230 u = 1840

1 u = 1840 ÷ 230 = 8

Number of people at the carnival
= 28 u + 21 u
= 49 u
= 49 x 8
= 392

Answer(s): 392