At a school carnival, each girl received 5 packets of mini cupcakes and each boy received 6 packets of mini cupcakes. Each accompanying adult received 8 packets of mini cupcakes.
25 of the people at the school carnival were adults. The ratio of the number of girls to the number of boys at the carnival was 2 : 7. Given that only 1000 packets of mini cupcakes were given away, how many people were there at the carnival?
Girls |
Boys |
Adults |
3x3 = 9 u |
2x3 = 6 u |
2x1 = 2 u |
7x1 = 7 u |
6 u |
|
Girls |
Boys |
Adults |
Number |
2 u |
7 u |
6 u |
Value |
5 |
6 |
8 |
Total Value |
10 u |
42 u |
48 u |
Fraction of the people who were children
= 1 -
25=
35 The number of children is the combined repeated identity. Make the number of children the same. LCM of 9 and 3 is 9.
Number of packets of mini cupcakes given away
= 2 u x 5 + 7 u x 6 + 6 u x 8
= 10 u + 42 u + 48 u
= 100 u
100 u = 1000
1 u = 1000 ÷ 100 = 10
Number of people at the carnival
= 9 u + 6 u
= 15 u
= 15 x 10
= 150
Answer(s): 150