Not including tax a total of 19 pens and markers cost $11 and 50 Cent the pins cost $.25 each of the markers cost $.75 each route the system of equations that could be used to solve the number of pens and the number of markers bought
Let's assume the number of pens is represented by 'p' and the number of markers is represented by 'm'.
The total number of pens and markers is given as 19:
p + m = 19
The cost of the pens and markers adds up to $11.50:
0.25p + 0.75m = 11.50
So the system of equations that could be used to solve the number of pens and markers bought is:
p + m = 19
0.25p + 0.75m = 11.50
Let's denote the number of pens as x and the number of markers as y.
From the given information, we can set up two equations:
Equation 1: "a total of 19 pens and markers cost $11 and 50 Cent"
0.25x + 0.75y = 11.50
Equation 2: "the pens cost $.25 each and the markers cost $.75 each"
x + y = 19
So, the system of equations is:
0.25x + 0.75y = 11.50
x + y = 19
To set up the system of equations, let's denote the number of pens as "x" and the number of markers as "y".
According to the given information, the total number of pens and markers is 19. Therefore, we can write the first equation as:
x + y = 19
Furthermore, we know that the total cost of the pens and markers is $11.50. We can set up the second equation using the cost of each pen and marker:
0.25x + 0.75y = 11.50
This equation represents the total cost of pens and the total cost of markers, with the cost of each pen being $0.25 (0.25x) and the cost of each marker being $0.75 (0.75y).
So, the system of equations is:
x + y = 19
0.25x + 0.75y = 11.50
By solving these equations simultaneously, we can find the number of pens (x) and the number of markers (y) that were purchased.