At a school carnival, each girl received 2 packets of candy canes and each boy received 3 packets of candy canes. Each accompanying adult received 5 packets of candy canes.
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 2220 packets of candy canes 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 candy canes given away
= 15 u x 2 + 40 u x 3 + 44 u x 5
= 30 u + 120 u + 220 u
= 370 u
370 u = 2220
1 u = 2220 ÷ 370 = 6
Number of people at the carnival
= 55 u + 44 u
= 99 u
= 99 x 6
= 594
Answer(s): 594