Chapter 3.7, Problem 2P

To determine

To find: Number of student tickets sold.

Answer to Problem 2P

617 student tickets were sold.

Explanation of Solution

Given information:

Each adult ticket costs $4.

Each student ticket costs $2.

Total 920 tickets sold for $2446.

Calculations:

Let the number of student tickets be s .

Then

	Number	Price ($)	Cost
Adult	920 − s	4.00	4(920 − s )
Student	s	2.00	2s

Now,

Adult tickets cost + Student tickets cost = Total tickets cost

Thus,

  $4\left(920-s\right)+2s=2446$

That becomes

  $3680-4s+2s=2446$

Add 2s to both sides:

  $3680=2446+2s$

Subtract 2446 from both sides:

  $1234=2s$

Divide the above Eq. by 2

  $s=\frac{1234}{2}=617$

Thus,

The numbers of student tickets sold were 617.