Question

At the city museum, child admission is $6.60 and adult admission is $9.80. On Sunday, 163 tickets were sold for a total sales of $1363.80. How many adult tickets were sold that day?

Answer 1

ANSWER

$\text{90 adults}$

EXPLANATION

Let the number of children's tickets sold on Sunday be c.

Let the number of adult tickets sold on Sunday be a.

The total number of tickets sold that day is 163. This implies that:

$a+c=163$

The total sales that day is $1363.80. This implies that:

$9.80a+6.60c=1363.80$

From the first equation, make c the subject of the formula:

$c=163-a$

Substitute that into the second equation and solve for a:

$\begin{gathered} 9.80a+6.60(163-a)=1363.80 \\ 9.80a+1075.8-6.6a=1363.80 \\ 9.80a-6.6a=1363.80-1075.8 \\ 3.2a=288 \\ \Rightarrow a=\frac{288}{3.2} \\ a=90 \end{gathered}$

Therefore, there were 90 adult tickets sold that day.