At a school carnival, each boy received 2 packets of lollipops and each girl received 4 packets of lollipops. Each accompanying adult received 5 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 4 : 7. Given that only 1160 packets of lollipops were given away, how many people were there at the carnival?
Boys |
Girls |
Adults |
5x11 = 55 u |
2x11 = 22 u |
4x5 = 20 u |
7x5 = 35 u |
22 u |
|
Boys |
Girls |
Adults |
Number |
20 u |
35 u |
22 u |
Value |
2 |
4 |
5 |
Total Value |
40 u |
140 u |
110 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 11 and 5 is 55.
Number of packets of lollipops given away
= 20 u x 2 + 35 u x 4 + 22 u x 5
= 40 u + 140 u + 110 u
= 290 u
290 u = 1160
1 u = 1160 ÷ 290 = 4
Number of people at the carnival
= 55 u + 22 u
= 77 u
= 77 x 4
= 308
Answer(s): 308