Question

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.

Answer 1

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**.