At a school carnival, each woman received 4 packets of sweets and each man received 5 packets of sweets. Each accompanying child received 7 packets of sweets.
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 5 : 8. Given that only 3856 packets of sweets were given away, how many people were there at the carnival?
Women |
Men |
Child |
5x13 = 65 u |
2x13 = 26 u |
5x5 = 25 u |
8x5 = 40 u |
26 u |
|
Women |
Men |
Child |
Number |
25 u |
40 u |
26 u |
Value |
4 |
5 |
7 |
Total Value |
100 u |
200 u |
182 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 13 and 5 is 65.
Number of packets of sweets given away
= 25 u x 4 + 40 u x 5 + 26 u x 7
= 100 u + 200 u + 182 u
= 482 u
482 u = 3856
1 u = 3856 ÷ 482 = 8
Number of people at the carnival
= 65 u + 26 u
= 91 u
= 91 x 8
= 728
Answer(s): 728