At a school carnival, each boy received 3 packets of caramel apples and each girl received 4 packets of caramel apples. Each accompanying adult received 5 packets of caramel apples.
29 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 180 packets of caramel apples were given away, how many people were there at the carnival?
Boys |
Girls |
Adults |
7x1 = 7 u |
2x1 = 2 u |
2x1 = 2 u |
5x1 = 5 u |
2 u |
|
Boys |
Girls |
Adults |
Number |
2 u |
5 u |
2 u |
Value |
3 |
4 |
5 |
Total Value |
6 u |
20 u |
10 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 7 and 7 is 7.
Number of packets of caramel apples given away
= 2 u x 3 + 5 u x 4 + 2 u x 5
= 6 u + 20 u + 10 u
= 36 u
36 u = 180
1 u = 180 ÷ 36 = 5
Number of people at the carnival
= 7 u + 2 u
= 9 u
= 9 x 5
= 45
Answer(s): 45