At a school carnival, each woman received 4 packets of candy canes and each man received 6 packets of candy canes. Each accompanying child received 7 packets of candy canes.
25 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 4 : 5. Given that only 704 packets of candy canes were given away, how many people were there at the carnival?
Women |
Men |
Child |
3x3 = 9 u |
2x3 = 6 u |
4x1 = 4 u |
5x1 = 5 u |
6 u |
|
Women |
Men |
Child |
Number |
4 u |
5 u |
6 u |
Value |
4 |
6 |
7 |
Total Value |
16 u |
30 u |
42 u |
Fraction of the people who were adults
= 1 -
25=
35 The number of adults is the combined repeated identity. Make the number of adults the same. LCM of 9 and 3 is 9.
Number of packets of candy canes given away
= 4 u x 4 + 5 u x 6 + 6 u x 7
= 16 u + 30 u + 42 u
= 88 u
88 u = 704
1 u = 704 ÷ 88 = 8
Number of people at the carnival
= 9 u + 6 u
= 15 u
= 15 x 8
= 120
Answer(s): 120