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)%0D%0APut 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.%0D%0Ap + m = Response area%0D%0A%0D%0AResponse area p + Response area m = Response area%0D%0A%0D%0A11.501930.51.500.7510.25%0D%0ASkip

1 answer

Let's assign variables to the unknown quantities: let p be the number of pens and m be the number of markers.

The first equation relates the total number of pens and markers to the total cost:
0.25p + 0.75m = 11.50

The second equation simply states that the number of pens and markers bought is equal to 19:
p + m = 19

So, the system of equations is:
0.25p + 0.75m = 11.50
p + m = 19