At a school carnival, each boy received 2 packets of mini cupcakes and each girl received 4 packets of mini cupcakes. Each accompanying adult received 5 packets of mini cupcakes.
37 of the people at the school carnival were adults. The ratio of the number of boys to the number of girls at the carnival was 4 : 5. Given that only 741 packets of mini cupcakes were given away, how many people were there at the carnival?
Boys |
Girls |
Adults |
4x9 = 36 u |
3x9 = 27 u |
4x4 = 16 u |
5x4 = 20 u |
27 u |
|
Boys |
Girls |
Adults |
Number |
16 u |
20 u |
27 u |
Value |
2 |
4 |
5 |
Total Value |
32 u |
80 u |
135 u |
Fraction of the people who were children
= 1 -
37=
47 The number of children is the combined repeated identity. Make the number of children the same. LCM of 9 and 4 is 36.
Number of packets of mini cupcakes given away
= 16 u x 2 + 20 u x 4 + 27 u x 5
= 32 u + 80 u + 135 u
= 247 u
247 u = 741
1 u = 741 ÷ 247 = 3
Number of people at the carnival
= 36 u + 27 u
= 63 u
= 63 x 3
= 189
Answer(s): 189