At a school carnival, each girl received 4 packets of candy canes and each boy received 5 packets of candy canes. Each accompanying adult received 7 packets of candy canes.
29 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 : 7. Given that only 3283 packets of candy canes were given away, how many people were there at the carnival?
Girls |
Boys |
Adults |
7x10 = 70 u |
2x10 = 20 u |
3x7 = 21 u |
7x7 = 49 u |
20 u |
|
Girls |
Boys |
Adults |
Number |
21 u |
49 u |
20 u |
Value |
4 |
5 |
7 |
Total Value |
84 u |
245 u |
140 u |
Fraction of the people who were children
= 1 -
29=
79 The number of children is the combined repeated identity. Make the number of children the same. LCM of 10 and 7 is 70.
Number of packets of candy canes given away
= 21 u x 4 + 49 u x 5 + 20 u x 7
= 84 u + 245 u + 140 u
= 469 u
469 u = 3283
1 u = 3283 ÷ 469 = 7
Number of people at the carnival
= 70 u + 20 u
= 90 u
= 90 x 7
= 630
Answer(s): 630