At a school carnival, each boy received 3 packets of mini cupcakes and each girl received 5 packets of mini cupcakes. Each accompanying adult received 6 packets of mini cupcakes.
29 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 4610 packets of mini cupcakes were given away, how many people were there at the carnival?
Boys |
Girls |
Adults |
7x11 = 77 u |
2x11 = 22 u |
4x7 = 28 u |
7x7 = 49 u |
22 u |
|
Boys |
Girls |
Adults |
Number |
28 u |
49 u |
22 u |
Value |
3 |
5 |
6 |
Total Value |
84 u |
245 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 mini cupcakes given away
= 28 u x 3 + 49 u x 5 + 22 u x 6
= 84 u + 245 u + 132 u
= 461 u
461 u = 4610
1 u = 4610 ÷ 461 = 10
Number of people at the carnival
= 77 u + 22 u
= 99 u
= 99 x 10
= 990
Answer(s): 990