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?

Equation:
Solution:

Answer 1

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

You buy five books, which means the total cost for the books is \( 5x \).

You also purchased a DVD for $8.

Therefore, the equation representing your total spending can be set up as follows:

\[ 5x + 8 = 25.50 \]

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

1. Subtract $8 from both sides:

\[ 5x = 25.50 - 8 \]

\[ 5x = 17.50 \]

2. Now, divide both sides by 5 to find \( x \):

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

\[ x = 3.50 \]

Thus, the cost per book is:

Solution: \( \text{Cost per book} = $3.50 \)