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

1 answer

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

  1. Total number of pens and markers: The first equation will account for the total count of pens and markers. This is represented as: \[ p + m = 19 \]

  2. 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:

  • First equation: For the total number of items: \[ p + m = 19 \]

  • Second equation: For the total cost: \[ 0.25p + 0.75m = 11.50 \]

To place them in the input fields provided:

  1. For the first equation:

    • Response area for m: 19 (since it's a total of 19 items).
  2. 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:

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