Question

At the movie theatre, child admission is $6.20, and adult admission is $9.70. On Tuesday, 149 tickets were sold for a total sales of $1165.30. How many child tickets were sold that day?

a) 70
b) 80
c) 90
d) 100

Answer 1

79 child tickets were sold that day.

Step-by-step explanation:

Let's assume that x represents the number of child tickets sold and y represents the number of adult tickets sold.

We are given that the price of a child ticket is $6.20 and the price of an adult ticket is $9.70. The total number of tickets sold is 149 and the total sales is $1165.30.

From these given values, we can set up two equations:

1. x + y = 149 (equation 1)
2. 6.20x + 9.70y = 1165.30 (equation 2)

We can solve these equations simultaneously to find the values of x and y. Multiplying equation 1 by 6.20, we get:

6.20x + 6.20y = 918.80 (equation 3)

Subtracting equation 2 from equation 3, we eliminate the x term:

6.20y - 9.70y = 918.80 - 1165.30

-3.50y = -246.50

Dividing both sides by -3.50, we find:

y = 70

Substituting this value into equation 1, we can solve for x:

x + 70 = 149

x = 79

Therefore, 79 child tickets were sold that day.