Lorena is buying school supplies. She buys 4 notebooks for 2.50 each. 10 pencils for 0.75 each, and 5 pens of equal price.If Lorena spends 23.75 total, what is the price of each pen.

1 answer

Let's calculate the total cost of the notebooks and pencils first.

  1. Cost of Notebooks:

    • Lorena buys 4 notebooks at $2.50 each. \[ \text{Cost of notebooks} = 4 \times 2.50 = 10.00 \]
  2. Cost of Pencils:

    • Lorena buys 10 pencils at $0.75 each. \[ \text{Cost of pencils} = 10 \times 0.75 = 7.50 \]
  3. Total Cost of Notebooks and Pencils:

    • Combine the costs of notebooks and pencils. \[ \text{Total cost of notebooks and pencils} = 10.00 + 7.50 = 17.50 \]
  4. Finding the cost of the pens:

    • Lorena spends a total of $23.75. We can find the amount spent on pens by subtracting the total cost of notebooks and pencils from the total amount spent. \[ \text{Amount spent on pens} = 23.75 - 17.50 = 6.25 \]
  5. Cost of each pen:

    • Lorena buys 5 pens, so to find the cost of each pen, we divide the total cost for the pens by the number of pens. \[ \text{Cost per pen} = \frac{6.25}{5} = 1.25 \]

Thus, the price of each pen is $1.25.