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
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
To write the system of equations, let's use the given information:
1. The total cost of 19 pens and markers is $11.50.
2. The price of each pen is $0.25.
3. The price of each marker is $0.75.
Let p represent the number of pens bought and m represent the number of markers bought.
From information 1, we can form the equation:
0.25p + 0.75m = 11.50
From the number of items bought, we know:
p + m = 19
So, the system of equations can be written as:
0.25p + 0.75m = 11.50
p + m = 19
We can solve this problem by setting up a system of equations based on the given information.
Let's denote the number of pens as "p" and the number of markers as "m".
From the given information, we know that:
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: 0.25p + 0.75m = 11.50.
Therefore, the system of equations that could be used to solve for the number of pens, p, and the number of markers, m, is:
p + m = 19
0.25p + 0.75m = 11.50