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.
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 3 : 7. Given that only 300 packets of chocolate bars were given away, how many people were there at the carnival?
Men |
Women |
Child |
5x2 = 10 u |
4x2 = 8 u |
3x1 = 3 u |
7x1 = 7 u |
8 u |
|
Men |
Women |
Child |
Number |
3 u |
7 u |
8 u |
Value |
3 |
5 |
7 |
Total Value |
9 u |
35 u |
56 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 10 and 5 is 10.
Number of packets of chocolate bars given away
= 3 u x 3 + 7 u x 5 + 8 u x 7
= 9 u + 35 u + 56 u
= 100 u
100 u = 300
1 u = 300 ÷ 100 = 3
Number of people at the carnival
= 10 u + 8 u
= 18 u
= 18 x 3
= 54
Answer(s): 54