Last year for the musical at the school, adult tickets sold out for $3.50 and student tickets sold for $2.50. For one performance 321 tickets were sold for $937.50.Read description

Question

How many of each kind of tickets were sold?

Answer 1

Adult tickets: $3.50

Student tickets: $2.50

One performance = 321 tickets = $937.50

Let's have a = number of adult tickets and s = number of student tickets. With the given information, we know that some number of adult tickets COMBINED with some other number of student tickets total 321 tickets. Therefore, our system of equations are:

a + s = 321 (i)

3.50a + 2.50s = 937.50 (ii)

In equation (i), a = 321 - s. If we substitute that into equation (ii), we get:

3.50(321-s) + 2.50s = 937.50

1123.50 - 3.50s + 2.50s = 937.50 Distribute the 3.50 according to PEMDAS.

1123.50 - 1s = 937.50 Add s to the both sides of the equation, and subtract 937.50 to both 187.00 = s sides, getting rid of the negative s value.

a + 187 = 321

a = 134

134 adult tickets & 187 student tickets were sold