Atheater has a seating capacity of 750 and charges $5 for children, $7 for students, and $9 for adults. at a certain screening with full attendance, there were half as many adults as children and students combined. the receipts totaled $4950. how many children attended the show

Let 'c' be the number of children, 'a' be the number of adults and 's' be the number of students in the theater.

Since, there are total 750 people in the theater.

So, c + s + a = 750  (Equation 1)

Now, it is given that there were half as many adults as children and students combined.

So,

So,

Putting the value of "c+s" in equation 1.

a = 250

Now, it is given that the receipts totaled $4950 and it charges $5 for children, $7 for students, and $9 for adults.

So, (equation 2)

Since,

So,

Substituting the values of 's' and 'a' in equation 2, we get

So, c = 400

Therefore, there were 400 children at the theater.

99

step-by-step explanation:

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.