At a school carnival, each woman received 2 packets of chocolate bars and each man received 3 packets of chocolate bars. Each accompanying child received 5 packets of chocolate bars.
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 5 : 8. Given that only 1160 packets of chocolate bars were given away, how many people were there at the carnival?
Women |
Men |
Child |
3x13 = 39 u |
2x13 = 26 u |
5x3 = 15 u |
8x3 = 24 u |
26 u |
|
Women |
Men |
Child |
Number |
15 u |
24 u |
26 u |
Value |
2 |
3 |
5 |
Total Value |
30 u |
72 u |
130 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 13 and 3 is 39.
Number of packets of chocolate bars given away
= 15 u x 2 + 24 u x 3 + 26 u x 5
= 30 u + 72 u + 130 u
= 232 u
232 u = 1160
1 u = 1160 ÷ 232 = 5
Number of people at the carnival
= 39 u + 26 u
= 65 u
= 65 x 5
= 325
Answer(s): 325