Let's calculate the total cost of the notebooks and pencils first.
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Cost of Notebooks:
- Lorena buys 4 notebooks at $2.50 each. \[ \text{Cost of notebooks} = 4 \times 2.50 = 10.00 \]
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Cost of Pencils:
- Lorena buys 10 pencils at $0.75 each. \[ \text{Cost of pencils} = 10 \times 0.75 = 7.50 \]
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Total Cost of Notebooks and Pencils:
- Combine the costs of notebooks and pencils. \[ \text{Total cost of notebooks and pencils} = 10.00 + 7.50 = 17.50 \]
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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. \[ \text{Amount spent on pens} = 23.75 - 17.50 = 6.25 \]
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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.