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)

Question

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

Answer 1

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

1. The total number of pens and markers is 19: \[ p + m = 19 \]

2. The total cost of the pens and markers is $11.50, where each pen costs $0.25 and each marker costs $0.75: \[ 0.25p + 0.75m = 11.50 \]

Therefore, the system of equations is:

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

You can now input this into the response areas as follows:

1. For the first equation:

   • Response area \( p + m = 19 \)

2. For the second equation:

   • Response area \( 0.25p + 0.75m = 11.50 \)

This speeds up your task and ensures correctness in representing the system of equations.