Question

At the movie theatre, child admission is $5.70 and adult admission is $9.00 . On Tuesday, 163 tickets were sold for a total sales of $1245.90 . How many adult tickets were sold that day?

Answer 1

Answer: 96 adult tickets were sold that day.

Step-by-step explanation:

Let x represent the number of children tickets that were sold at the movie theatre.

Let y represent the number of adult tickets that were sold at the movie theatre.

A total of 163 tickets were sold on Tuesday. This means that

x + y = 163

child admission is $5.70 and adult admission is $9.00. The total sales made on Tuesday was $1245.90. It means that

5.7x + 9y = 1245.90 - - - - - - - - 1

Substituting x = 163 - y into equation 1, it becomes

5.7(163 - y) + 9y = 1245.90

929.1 - 5.7y + 9y = 1245.90

- 5.7y + 9y = 1245.90 - 929.1

3.3y = 316.8

y = 316.8/3.3

y = 96

x = 163 - y = 163 - 96

x = 67