At a school carnival, each man received 3 packets of chocolate bars and each woman received 5 packets of chocolate bars. Each accompanying child received 7 packets of chocolate bars.
37 of the people at the school carnival were child. The ratio of the number of men to the number of women at the carnival was 2 : 7. Given that only 2471 packets of chocolate bars were given away, how many people were there at the carnival?
Men |
Women |
Child |
4x9 = 36 u |
3x9 = 27 u |
2x4 = 8 u |
7x4 = 28 u |
27 u |
|
Men |
Women |
Child |
Number |
8 u |
28 u |
27 u |
Value |
3 |
5 |
7 |
Total Value |
24 u |
140 u |
189 u |
Fraction of the people who were adults
= 1 -
37=
47 The number of adults is the combined repeated identity. Make the number of adults the same. LCM of 9 and 4 is 36.
Number of packets of chocolate bars given away
= 8 u x 3 + 28 u x 5 + 27 u x 7
= 24 u + 140 u + 189 u
= 353 u
353 u = 2471
1 u = 2471 ÷ 353 = 7
Number of people at the carnival
= 36 u + 27 u
= 63 u
= 63 x 7
= 441
Answer(s): 441