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Not including tax, a total of 19 pens and markers cost $11.50. The pens cost $0.25 each, and the markers cost $0.75 each. Write the system of equations that could be used to solve for the number of pens, p, and the number of markers, m, bought.(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
p + m = Response area

Response area p + Response area m = Response area

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1 answer

To create the system of equations based on the information given:

  1. The first equation represents the total number of pens and markers: \[ p + m = 19 \] Here, \(p\) is the number of pens and \(m\) is the number of markers.

  2. The second equation represents the total cost of the pens and markers: \[ 0.25p + 0.75m = 11.50 \]

Now let's put these into the response areas as per your instructions.

  1. For the first equation: \[ p + m = 19 \] Insert "19" in the response area for the total number of pens and markers.

  2. For the second equation, we can rewrite it in a way that uses only integers by multiplying everything by 100 to eliminate the decimals: \[ 25p + 75m = 1150 \] However, since we need to stick to the provided format, you can leave it as: \[ 0.25p + 0.75m = 11.50 \]

Hence, the system of equations is:

  1. \(p + m = 19\)
  2. \(0.25p + 0.75m = 11.50\)

If you need to provide specific values for the second equation, please let me know!