At a school carnival, each girl received 2 packets of lollipops and each boy received 4 packets of lollipops. Each accompanying adult received 6 packets of lollipops.
49 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 164 packets of lollipops were given away, how many people were there at the carnival?
Girls |
Boys |
Adults |
5x2 = 10 u |
4x2 = 8 u |
3x1 = 3 u |
7x1 = 7 u |
8 u |
|
Girls |
Boys |
Adults |
Number |
3 u |
7 u |
8 u |
Value |
2 |
4 |
6 |
Total Value |
6 u |
28 u |
48 u |
Fraction of the people who were children
= 1 -
49=
59 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 2 + 7 u x 4 + 8 u x 6
= 6 u + 28 u + 48 u
= 82 u
82 u = 164
1 u = 164 ÷ 82 = 2
Number of people at the carnival
= 10 u + 8 u
= 18 u
= 18 x 2
= 36
Answer(s): 36