At a school carnival, each girl received 3 packets of candy canes and each boy received 5 packets of candy canes. Each accompanying adult received 6 packets of candy canes.
27 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 : 5. Given that only 1862 packets of candy canes were given away, how many people were there at the carnival?
Girls |
Boys |
Adults |
5x8 = 40 u |
2x8 = 16 u |
3x5 = 15 u |
5x5 = 25 u |
16 u |
|
Girls |
Boys |
Adults |
Number |
15 u |
25 u |
16 u |
Value |
3 |
5 |
6 |
Total Value |
45 u |
125 u |
96 u |
Fraction of the people who were children
= 1 -
27=
57 The number of children is the combined repeated identity. Make the number of children the same. LCM of 8 and 5 is 40.
Number of packets of candy canes given away
= 15 u x 3 + 25 u x 5 + 16 u x 6
= 45 u + 125 u + 96 u
= 266 u
266 u = 1862
1 u = 1862 ÷ 266 = 7
Number of people at the carnival
= 40 u + 16 u
= 56 u
= 56 x 7
= 392
Answer(s): 392