Atheater has a seating capacity of 750 and charges $2 for children, $4 for students, and $6 for adults. at a certain screening with full attendance, there were half as many adults as children and students combined. the receipts totaled $3300. how many children attended the show? (let x, y, and z denote the number of children, students, and adults, respectively.)

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

slope is 35 and 20 miles is the y-intercept.

step-by-step explanation:

answer: it is 8

step-by-step explanation:

you know why its 8