At a school carnival, each boy received 3 packets of lollipops and each girl received 5 packets of lollipops. Each accompanying adult received 6 packets of lollipops.
27 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 3 : 7. Given that only 272 packets of lollipops were given away, how many people were there at the carnival?
Boys |
Girls |
Adults |
5x2 = 10 u |
2x2 = 4 u |
3x1 = 3 u |
7x1 = 7 u |
4 u |
|
Boys |
Girls |
Adults |
Number |
3 u |
7 u |
4 u |
Value |
3 |
5 |
6 |
Total Value |
9 u |
35 u |
24 u |
Fraction of the people who were children
= 1 -
27=
57 The number of children is the combined repeated identity. Make the number of children the same. LCM of 10 and 5 is 10.
Number of packets of lollipops given away
= 3 u x 3 + 7 u x 5 + 4 u x 6
= 9 u + 35 u + 24 u
= 68 u
68 u = 272
1 u = 272 ÷ 68 = 4
Number of people at the carnival
= 10 u + 4 u
= 14 u
= 14 x 4
= 56
Answer(s): 56