Give the equation for a circle with the given center and radius. Center at (2, -9), radius = 3
1 answer:
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Answer:
100 children
Step-by-step explanation:
Let x, y, and z denote the number of children, students, and adults, respectively.
A theater has a seating capacity of 750
So, ---A
Theater charges $2 for children, $4 for students, and $6 for adults.
Cost for x children = 2x
Cost for y students = 4y
Cost for y adults = 6z
The receipts totaled $3300
So, ---B
Now we are given that there were half as many adults as children and students combined.
So, ---C
Substitute the value of x+y in A
Substitute the value of z in A and B
In A
---D
In B
---E
Solve D and E
Substitute the value of x from D in E
Substitute the value of y in D
x=100
Hence 100 children attended the show