To create a system of equations based on the information given:
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Total number of pens and markers: The first equation will account for the total count of pens and markers. This is represented as: \[ p + m = 19 \]
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Total cost of pens and markers: The second equation accounts for the total cost. Pens cost $0.25 each, and markers cost $0.75 each, leading to the equation: \[ 0.25p + 0.75m = 11.50 \]
Now, let's format this into the required system of equations:
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First equation: For the total number of items: \[ p + m = 19 \]
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Second equation: For the total cost: \[ 0.25p + 0.75m = 11.50 \]
To place them in the input fields provided:
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For the first equation:
- Response area for m: 19 (since it's a total of 19 items).
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For the second equation (total cost):
- Response area for p: 0.25 (cost per pen).
- Response area for m: 0.75 (cost per marker).
- Response area for the total: 11.50 (total cost).
So, the complete system of equations is:
- \( p + m = 19 \)
- \( 0.25p + 0.75m = 11.50 \)