Question

A movie theater charges five dollars admission for an adult and three dollars for a child if 700 tickets were sold and the total revenue received was 2900 how many tickets of each type were sold

Answer 1

So, 400 adult tickets and 300 child tickets were sold.

Explanation:

Use a system of equations to solve this problem.

Denote the number of adult tickets sold as "A" and the number of child tickets sold as "C".

According to the given information:

The total number of tickets sold: A + C = 700

The total revenue received: 5A + 3C = 2900

Now we can solve this system of equations. Let's use the substitution method.

From the first equation, we can express A in terms of C: A = 700 - C

Substitute this value of A into the second equation:

5(700 - C) + 3C = 2900

Simplify the equation:

3500 - 5C + 3C = 2900

Combine like terms:

-2C = -600

Divide by -2:

C = 300

Now that we know the number of child tickets sold is 300, we can use the first equation to find the number of adult tickets sold

A + 300 = 700

Subtract 300 from both sides:

A = 700 - 300

A = 400

So, 400 adult tickets and 300 child tickets were sold.