Question

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 =

Answer 1

To set up the system of equations for the problem, we can define the following:

Let \( p \) be the number of pens, and \( m \) be the number of markers.

From the problem, we have two main pieces of information:

1. The total number of pens and markers is 19.
2. The total cost of the pens and markers is $11.50.

This gives us the following equations:

1. \( p + m = 19 \) (total number of pens and markers)
2. \( 0.25p + 0.75m = 11.50 \) (total cost of pens and markers)

Now, you can fill in the response areas as follows:

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

Thus:

• The number of pens and markers equation is \( p + m = 19 \).
• For the cost equation, it can be rearranged for clarity or solved as is, but it is the second equation.

So, you can input:

• For the first equation: \( 19 \)
• For the second equation: \( 0.25p + 0.75m = 11.50 \) (but please include only the second term for what you have shown).

If you require only inputs between the gaps you provided, input \( 19 \) for the total pens and markers in the first response area and fill the second area with the cost equation.

So the final responses should be:

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