Mia buys 5 Notebooks for x dollars each and 5 pencils for $0.75 each. She spends a

total of $23.50. What is the cost of each Notebook ? 5( x + 0.75 ) = 23.50
A. $1.50 B. $2.00 C. $2.50 D. $3.95

1 answer

To find the cost of each Notebook \( x \), we start by setting up the equation based on Mia's purchases.

Mia buys:

  • 5 Notebooks at \( x \) dollars each, for a total of \( 5x \) dollars.
  • 5 pencils at $0.75 each, for a total of \( 5 \times 0.75 = 3.75 \) dollars.

The total cost for everything is given as $23.50. Therefore, we can write the equation:

\[ 5x + 3.75 = 23.50 \]

To isolate \( 5x \), we subtract \( 3.75 \) from both sides:

\[ 5x = 23.50 - 3.75 \]

Calculating the right side:

\[ 5x = 19.75 \]

Now, we solve for \( x \) by dividing both sides by 5:

\[ x = \frac{19.75}{5} = 3.95 \]

Thus, the cost of each Notebook is:

\[ \boxed{3.95} \]

So the correct answer is D. $3.95.