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.(4 points)

Answer 1

The total cost of the pens can be found by multiplying the number of pens, p, by the cost per pen, $0.25. So the total cost of the pens is 0.25p.
The total cost of the markers can be found by multiplying the number of markers, m, by the cost per marker, $0.75. So the total cost of the markers is 0.75m.
The total cost of all the pens and markers is given as $11.50. So the equation for the total cost is 0.25p + 0.75m = 11.50.
The total number of pens and markers is given as 19. So the equation for the total number is p + m = 19.