At a school carnival, each woman received 2 packets of lollipops and each man received 3 packets of lollipops. Each accompanying child received 4 packets of lollipops.
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 : 7. Given that only 315 packets of lollipops were given away, how many people were there at the carnival?
Women |
Men |
Child |
3x4 = 12 u |
2x4 = 8 u |
5x1 = 5 u |
7x1 = 7 u |
8 u |
|
Women |
Men |
Child |
Number |
5 u |
7 u |
8 u |
Value |
2 |
3 |
4 |
Total Value |
10 u |
21 u |
32 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 12 and 3 is 12.
Number of packets of lollipops given away
= 5 u x 2 + 7 u x 3 + 8 u x 4
= 10 u + 21 u + 32 u
= 63 u
63 u = 315
1 u = 315 ÷ 63 = 5
Number of people at the carnival
= 12 u + 8 u
= 20 u
= 20 x 5
= 100
Answer(s): 100