At a school carnival, each girl received 2 packets of lollipops and each boy received 3 packets of lollipops. Each accompanying adult received 4 packets of lollipops.
27 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 2510 packets of lollipops were given away, how many people were there at the carnival?
Girls |
Boys |
Adults |
5x12 = 60 u |
2x12 = 24 u |
5x5 = 25 u |
7x5 = 35 u |
24 u |
|
Girls |
Boys |
Adults |
Number |
25 u |
35 u |
24 u |
Value |
2 |
3 |
4 |
Total Value |
50 u |
105 u |
96 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 12 and 5 is 60.
Number of packets of lollipops given away
= 25 u x 2 + 35 u x 3 + 24 u x 4
= 50 u + 105 u + 96 u
= 251 u
251 u = 2510
1 u = 2510 ÷ 251 = 10
Number of people at the carnival
= 60 u + 24 u
= 84 u
= 84 x 10
= 840
Answer(s): 840