At a school carnival, each girl received 4 packets of lollipops and each boy received 6 packets of lollipops. Each accompanying adult received 7 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 2 : 5. Given that only 2093 packets of lollipops were given away, how many people were there at the carnival?
Girls |
Boys |
Adults |
4x7 = 28 u |
3x7 = 21 u |
2x4 = 8 u |
5x4 = 20 u |
21 u |
|
Girls |
Boys |
Adults |
Number |
8 u |
20 u |
21 u |
Value |
4 |
6 |
7 |
Total Value |
32 u |
120 u |
147 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 7 and 4 is 28.
Number of packets of lollipops given away
= 8 u x 4 + 20 u x 6 + 21 u x 7
= 32 u + 120 u + 147 u
= 299 u
299 u = 2093
1 u = 2093 ÷ 299 = 7
Number of people at the carnival
= 28 u + 21 u
= 49 u
= 49 x 7
= 343
Answer(s): 343