The problem states that 500 tickets were sold for a concert. Adult tickets cost \$4.50 and children's tickets cost \$3.00. The total revenue from ticket sales was \$1987.50. The question asks how many adult tickets were sold.

1. Problem Description

The problem states that 500 tickets were sold for a concert. Adult tickets cost \4.50 and children's tickets cost \3.

0

0. The total revenue from ticket sales was \$1987.

5

0. The question asks how many adult tickets were sold.

2. Solution Steps

Let $a$ be the number of adult tickets sold and $c$ be the number of children's tickets sold.

We can set up a system of two equations with two variables.

The first equation represents the total number of tickets sold:

$a + c = 500$

The second equation represents the total revenue from ticket sales:

$4.50a + 3.00c = 1987.50$

We can solve for $c$ in the first equation:

$c = 500 - a$

Substitute this expression for $c$ into the second equation:

$4.50a + 3.00(500 - a) = 1987.50$

$4.50a + 1500 - 3.00a = 1987.50$

$1.50a = 1987.50 - 1500$

$1.50a = 487.50$

$a = \frac{487.50}{1.50}$

$a = 325$

Now we can find the number of children's tickets sold:

$c = 500 - a = 500 - 325 = 175$

The number of adult tickets sold is

3

2

5.

3. Final Answer

The number of adult tickets sold is

3

2

5. Answer: A. 325