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)
p+ m= _
_ p + _ m = _
Word bank:
19
0.75
1.50
0.25
30.5
11.50
1
p + m = 19
0.25p + 0.75m = 11.50
p + m = 19
0.25p + 0.75m = 11.50
To create the system of equations, we need to use the given information to form two equations.
1) The first equation represents the total number of pens and markers bought. It can be written as:
p + m = 19
2) The second equation represents the total cost of pens and markers. It can be written as:
(0.25 * p) + (0.75 * m) = 11.50
To fill in the blanks, based on the given information:
p + m = 19
(0.25 * p) + (0.75 * m) = 11.50
So, the complete system of equations is:
p + m = 19
0.25p + 0.75m = 11.50