At a school carnival, each woman received 5 packets of caramel apples and each man received 7 packets of caramel apples. Each accompanying child received 8 packets of caramel apples.
49 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 3 : 7. Given that only 1280 packets of caramel apples were given away, how many people were there at the carnival?
Women |
Men |
Child |
5x2 = 10 u |
4x2 = 8 u |
3x1 = 3 u |
7x1 = 7 u |
8 u |
|
Women |
Men |
Child |
Number |
3 u |
7 u |
8 u |
Value |
5 |
7 |
8 |
Total Value |
15 u |
49 u |
64 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 caramel apples given away
= 3 u x 5 + 7 u x 7 + 8 u x 8
= 15 u + 49 u + 64 u
= 128 u
128 u = 1280
1 u = 1280 ÷ 128 = 10
Number of people at the carnival
= 10 u + 8 u
= 18 u
= 18 x 10
= 180
Answer(s): 180