At a school carnival, each girl received 3 packets of chocolate bars and each boy received 5 packets of chocolate bars. Each accompanying adult received 6 packets of chocolate bars.
29 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 3 : 8. Given that only 4275 packets of chocolate bars were given away, how many people were there at the carnival?
Girls |
Boys |
Adults |
7x11 = 77 u |
2x11 = 22 u |
3x7 = 21 u |
8x7 = 56 u |
22 u |
|
Girls |
Boys |
Adults |
Number |
21 u |
56 u |
22 u |
Value |
3 |
5 |
6 |
Total Value |
63 u |
280 u |
132 u |
Fraction of the people who were children
= 1 -
29=
79 The number of children is the combined repeated identity. Make the number of children the same. LCM of 11 and 7 is 77.
Number of packets of chocolate bars given away
= 21 u x 3 + 56 u x 5 + 22 u x 6
= 63 u + 280 u + 132 u
= 475 u
475 u = 4275
1 u = 4275 ÷ 475 = 9
Number of people at the carnival
= 77 u + 22 u
= 99 u
= 99 x 9
= 891
Answer(s): 891