At a school carnival, each boy received 2 packets of candy canes and each girl received 3 packets of candy canes. Each accompanying adult received 5 packets of candy canes.
25 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 2 : 5. Given that only 254 packets of candy canes were given away, how many people were there at the carnival?
Boys |
Girls |
Adults |
3x7 = 21 u |
2x7 = 14 u |
2x3 = 6 u |
5x3 = 15 u |
14 u |
|
Boys |
Girls |
Adults |
Number |
6 u |
15 u |
14 u |
Value |
2 |
3 |
5 |
Total Value |
12 u |
45 u |
70 u |
Fraction of the people who were children
= 1 -
25=
35 The number of children is the combined repeated identity. Make the number of children the same. LCM of 7 and 3 is 21.
Number of packets of candy canes given away
= 6 u x 2 + 15 u x 3 + 14 u x 5
= 12 u + 45 u + 70 u
= 127 u
127 u = 254
1 u = 254 ÷ 127 = 2
Number of people at the carnival
= 21 u + 14 u
= 35 u
= 35 x 2
= 70
Answer(s): 70