At a school carnival, each girl received 5 packets of mini cupcakes and each boy received 6 packets of mini cupcakes. Each accompanying adult received 7 packets of mini cupcakes.
25 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 1715 packets of mini cupcakes were given away, how many people were there at the carnival?
Girls |
Boys |
Adults |
3x11 = 33 u |
2x11 = 22 u |
3x3 = 9 u |
8x3 = 24 u |
22 u |
|
Girls |
Boys |
Adults |
Number |
9 u |
24 u |
22 u |
Value |
5 |
6 |
7 |
Total Value |
45 u |
144 u |
154 u |
Fraction of the people who were children
= 1 -
25=
35 The number of children is the combined repeated identity. Make the number of children the same. LCM of 11 and 3 is 33.
Number of packets of mini cupcakes given away
= 9 u x 5 + 24 u x 6 + 22 u x 7
= 45 u + 144 u + 154 u
= 343 u
343 u = 1715
1 u = 1715 ÷ 343 = 5
Number of people at the carnival
= 33 u + 22 u
= 55 u
= 55 x 5
= 275
Answer(s): 275