At a school carnival, each boy received 4 packets of candy canes and each girl received 5 packets of candy canes. Each accompanying adult received 7 packets of candy canes.
37 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 4 : 7. Given that only 1305 packets of candy canes were given away, how many people were there at the carnival?
Boys |
Girls |
Adults |
4x11 = 44 u |
3x11 = 33 u |
4x4 = 16 u |
7x4 = 28 u |
33 u |
|
Boys |
Girls |
Adults |
Number |
16 u |
28 u |
33 u |
Value |
4 |
5 |
7 |
Total Value |
64 u |
140 u |
231 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 11 and 4 is 44.
Number of packets of candy canes given away
= 16 u x 4 + 28 u x 5 + 33 u x 7
= 64 u + 140 u + 231 u
= 435 u
435 u = 1305
1 u = 1305 ÷ 435 = 3
Number of people at the carnival
= 44 u + 33 u
= 77 u
= 77 x 3
= 231
Answer(s): 231