Question

At the movie theatre, child admission is $5.60 and adult admission is $9.00. On Sunday, 154 tickets were sold for a total sales of $1158.20. How many adult tickets were sold that day?

Answer 1

87

Explanation:

You want the number of adult tickets sold at $9.00 each, given that 154 tickets were sold for $1158.20, and child admission tickets were $5.60.

Setup

Let 'a' represent the number of adult tickets sold. Then 154-a is the number of child tickets, and total revenue is ...

9.00a +5.60(154 -a) = 1158.20

Solution

Simplifying the equation, we have ...

3.40a +862.40 = 1158.20

3.40a = 295.80

a = 87

There were 87 adult tickets sold that day.

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Additional comment

67 child tickets were sold.

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