At a school carnival, each girl received 5 packets of lollipops and each boy received 6 packets of lollipops. Each accompanying adult received 8 packets of lollipops.
37 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 5 : 7. Given that only 834 packets of lollipops were given away, how many people were there at the carnival?
Girls |
Boys |
Adults |
4x3 = 12 u |
3x3 = 9 u |
5x1 = 5 u |
7x1 = 7 u |
9 u |
|
Girls |
Boys |
Adults |
Number |
5 u |
7 u |
9 u |
Value |
5 |
6 |
8 |
Total Value |
25 u |
42 u |
72 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 12 and 4 is 12.
Number of packets of lollipops given away
= 5 u x 5 + 7 u x 6 + 9 u x 8
= 25 u + 42 u + 72 u
= 139 u
139 u = 834
1 u = 834 ÷ 139 = 6
Number of people at the carnival
= 12 u + 9 u
= 21 u
= 21 x 6
= 126
Answer(s): 126