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.
p + m = Response area
Response area p + Response area m = Response area
p + m = 19
0.25p + 0.75m = 11.50
p + m = 19
0.25p + 0.75m = 11.50
To write a system of equations that could be used to solve for the number of pens, p, and the number of markers, m, bought, we need to translate the given information into equations.
Let's start by defining the variables:
p = number of pens bought
m = number of markers bought
From the given information, we know that:
The cost of 1 pen is $0.25.
The cost of 1 marker is $0.75.
To find the total cost of pens, we can multiply the cost per pen by the number of pens bought:
total cost of pens = cost per pen * number of pens = 0.25p.
Similarly, to find the total cost of markers, we can multiply the cost per marker by the number of markers bought:
total cost of markers = cost per marker * number of markers = 0.75m.
The total cost of 19 pens and markers is given as $11.50:
total cost of pens + total cost of markers = $11.50.
0.25p + 0.75m = 11.50.
Now, let's write the system of equations:
Equation 1: p + m = response area.
Equation 2: 0.25p + 0.75m = response area.
Note that the actual values for the right-hand side of the equations will depend on what is provided in the response area.