Tickets to the college basketball game are $2.50 for students and $3 for general admission. if 58 people attended the last game and the box office collected $162, how many of each type of ticket did they sell?
the box office sold general admission tickets and student tickets.

The box office sold 34 general admission tickets and 24 student tickets.

Step-by-step explanation:

2.5 dollars for students and 3 dollars for general admission.

58 people attended and 162 dollars was collected.

We are asked to find the number of general admission tickets and number of student tickets sold. Let's call the number of general admission tickets sold g and the number of student tickets sold s.

So we are going to make a money equation and a how many equation.

Let's being the money equation:  2.5 per student means you have 2.5*s

and 3 dollars per general admission ticket means you have 3*g.  You are given total collected was 162 dollars so 162 is the sum of whatever 2.5s and 3g is.  That setup as an equation in symbol form is 162=2.5s+3g

Let's do the how many equation:  There are only 2 kinds of tickets, s and g. And we know that the sum of these should be 58 since that is how many people attended.  So the equation in symbol form is 58=s+g.

This is our system of equations:

162=2.5s+3g

58=     s+   g

I'm going to set this up for elimination by multiplying both equation by -3 which gives:

  162=2.5s+ 3g

 -174=  -3s+-3g

Now I'm going to add.

   -12=-0.5s+0

   -12=-0.5s

Divide both sides by -0.5

   24=s

Or s=24.

Now we know that s+g=58 and s=24 so g=58-24=34.

The box office sold 34 general admission tickets and 24 student tickets.

24 tickets for students

34 tickets for general admission

Step-by-step explanation:

Let's call x the number of students admitted and call z the number of Tickets for general admission

Then we know that:

We also know that:

We want to find the value of x and z. Then we solve the system of equations:

-Multiplay the first equation by -3 and add it to the second equation:

----------------------------------

Now we substitute the value of x in the first equation and solve for the variable z

step-by-step explanation:

do you have a copy of the table?

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.