At a school carnival, each man received 4 packets of chocolate bars and each woman received 5 packets of chocolate bars. Each accompanying child received 7 packets of chocolate bars.
49 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 934 packets of chocolate bars were given away, how many people were there at the carnival?
Men |
Women |
Child |
5x9 = 45 u |
4x9 = 36 u |
2x5 = 10 u |
7x5 = 35 u |
36 u |
|
Men |
Women |
Child |
Number |
10 u |
35 u |
36 u |
Value |
4 |
5 |
7 |
Total Value |
40 u |
175 u |
252 u |
Fraction of the people who were adults
= 1 -
49=
59 The number of adults is the combined repeated identity. Make the number of adults the same. LCM of 9 and 5 is 45.
Number of packets of chocolate bars given away
= 10 u x 4 + 35 u x 5 + 36 u x 7
= 40 u + 175 u + 252 u
= 467 u
467 u = 934
1 u = 934 ÷ 467 = 2
Number of people at the carnival
= 45 u + 36 u
= 81 u
= 81 x 2
= 162
Answer(s): 162