Question

The drama club sells tickets to their spring play. They sell 180 tickets for a

total of $2,248. Adult tickets cost $14 each. Student tickets cost $10 each.
How many adult tickets and how many student tickets do they sell?

Answer 1

Explanation:

Let's use "a" to represent the number of adult tickets sold, and "s" to represent the number of student tickets sold.

We know that the total number of tickets sold is 180:

a + s = 180

We also know that the total amount of money earned from ticket sales is $2,248:

14a + 10s = 2248

We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for "s" as follows:

s = 180 - a

Substituting this expression for "s" into the second equation, we get:

14a + 10(180 - a) = 2248

Simplifying and solving for "a", we get:

4a + 1800 = 2248

4a = 448

a = 112

So the drama club sold 112 adult tickets. We can use the first equation to find the number of student tickets sold:

a + s = 180

112 + s = 180

s = 68

So the drama club sold 68 student tickets.