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.
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 2 : 5. Given that only 1656 packets of lollipops were given away, how many people were there at the carnival?
Girls |
Boys |
Adults |
5x7 = 35 u |
4x7 = 28 u |
2x5 = 10 u |
5x5 = 25 u |
28 u |
|
Girls |
Boys |
Adults |
Number |
10 u |
25 u |
28 u |
Value |
2 |
3 |
4 |
Total Value |
20 u |
75 u |
112 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 7 and 5 is 35.
Number of packets of lollipops given away
= 10 u x 2 + 25 u x 3 + 28 u x 4
= 20 u + 75 u + 112 u
= 207 u
207 u = 1656
1 u = 1656 ÷ 207 = 8
Number of people at the carnival
= 35 u + 28 u
= 63 u
= 63 x 8
= 504
Answer(s): 504