Write an equation and solve.

Question

You buy five books that are equal in price for $17.50 and a DVD for $8. Your total comes to $25.50. What is the cost per book?

Answer 1

Let's denote the cost of each book as \( x \).

According to the problem, you bought 5 books and 1 DVD. The total cost of the books can be represented as \( 5x \), and the cost of the DVD is $8. We know the total amount spent is $25.50. So, we can write the equation:

\[ 5x + 8 = 25.50 \]

Now, let's solve for \( x \):

1. Subtract 8 from both sides of the equation:

\[ 5x = 25.50 - 8 \] \[ 5x = 17.50 \]

2. Next, divide both sides by 5:

\[ x = \frac{17.50}{5} \] \[ x = 3.50 \]

Thus, the cost per book is $3.50.