At a school carnival, each woman received 2 packets of candy canes and each man received 4 packets of candy canes. Each accompanying child received 5 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 3 : 8. Given that only 1120 packets of candy canes were given away, how many people were there at the carnival?
Women |
Men |
Child |
3x11 = 33 u |
2x11 = 22 u |
3x3 = 9 u |
8x3 = 24 u |
22 u |
|
Women |
Men |
Child |
Number |
9 u |
24 u |
22 u |
Value |
2 |
4 |
5 |
Total Value |
18 u |
96 u |
110 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 11 and 3 is 33.
Number of packets of candy canes given away
= 9 u x 2 + 24 u x 4 + 22 u x 5
= 18 u + 96 u + 110 u
= 224 u
224 u = 1120
1 u = 1120 ÷ 224 = 5
Number of people at the carnival
= 33 u + 22 u
= 55 u
= 55 x 5
= 275
Answer(s): 275