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 areaResponse area p + Response area m = Response area11.5010.750.2530.5191.50

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To write the system of equations based on the problem described, we need two equations.

  1. The first equation comes from the total number of pens and markers: \[ p + m = 19 \]

  2. The second equation comes from the total cost of the pens and markers: Since the pens cost $0.25 each and the markers cost $0.75 each, the equation for the total cost will be: \[ 0.25p + 0.75m = 11.50 \]

So the system of equations is:

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

Now, inputting the responses:

  1. Insert 19 in place of the total in the first equation: \( p + m = \text{Response area} \)

  2. For the second equation: You can rewrite it to eliminate decimals by multiplying by 100 to get integers: \[ 25p + 75m = 1150 \]

However, in the context given, you might not need to change the format, and can stay with the original decimal form.

Assuming you need to fill in the response areas:

  1. For \( p + m = \), the answer is 19.
  2. For the total in the cost equation based on its arrangement, the answer is 11.50.

Therefore:

  • Final inputs will be:
    • Response area \( = 19 \)
    • Response area for cost \( = 11.50 \)