At a school carnival, each woman received 2 packets of mini cupcakes and each man received 3 packets of mini cupcakes. Each accompanying child received 5 packets of mini cupcakes.
27 of the people at the school carnival were child. The ratio of the number of women to the number of men at the carnival was 2 : 5. Given that only 330 packets of mini cupcakes were given away, how many people were there at the carnival?
Women |
Men |
Child |
5x7 = 35 u |
2x7 = 14 u |
2x5 = 10 u |
5x5 = 25 u |
14 u |
|
Women |
Men |
Child |
Number |
10 u |
25 u |
14 u |
Value |
2 |
3 |
5 |
Total Value |
20 u |
75 u |
70 u |
Fraction of the people who were adults
= 1 -
27=
57 The number of adults is the combined repeated identity. Make the number of adults the same. LCM of 7 and 5 is 35.
Number of packets of mini cupcakes given away
= 10 u x 2 + 25 u x 3 + 14 u x 5
= 20 u + 75 u + 70 u
= 165 u
165 u = 330
1 u = 330 ÷ 165 = 2
Number of people at the carnival
= 35 u + 14 u
= 49 u
= 49 x 2
= 98
Answer(s): 98