At a school carnival, each boy received 5 packets of mini cupcakes and each girl received 7 packets of mini cupcakes. Each accompanying adult received 9 packets of mini cupcakes.
27 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 3 : 5. Given that only 788 packets of mini cupcakes were given away, how many people were there at the carnival?
Boys |
Girls |
Adults |
5x8 = 40 u |
2x8 = 16 u |
3x5 = 15 u |
5x5 = 25 u |
16 u |
|
Boys |
Girls |
Adults |
Number |
15 u |
25 u |
16 u |
Value |
5 |
7 |
9 |
Total Value |
75 u |
175 u |
144 u |
Fraction of the people who were children
= 1 -
27=
57 The number of children is the combined repeated identity. Make the number of children the same. LCM of 8 and 5 is 40.
Number of packets of mini cupcakes given away
= 15 u x 5 + 25 u x 7 + 16 u x 9
= 75 u + 175 u + 144 u
= 394 u
394 u = 788
1 u = 788 ÷ 394 = 2
Number of people at the carnival
= 40 u + 16 u
= 56 u
= 56 x 2
= 112
Answer(s): 112