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

The option "30.5" (7 of 7) has been selected. Press tab to choose a response area, and spacebar to insert it. Press escape to cancel.

Answer 1

To form the system of equations for this problem, we can use the following two equations based on the information provided:

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

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

So the system of equations can be written as:

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

You can fill in the response areas with the parts of these equations. Specifically:

• For the first equation:

  • \( \text{Response area for } p + m = \text{Response area for } 19 \)

• For the second equation:

  • \( \text{Response area for } 0.25p + 0.75m = \text{Response area for } 11.50 \)

Please replace "Response area" with the correct values according to the system you have been given.