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

Response p + Response m = Response

Answer 1

[AI-generated answer — Bot GPT 3.5]

p + m = 19

0.25p + 0.75m = 11.50

Answer 2

[AI-generated answer — Step-by-Step Bot]

p + m = 19

0.25p + 0.75m = 11.50

Answer 3

[AI-generated answer — Explain Bot]

The total number of pens, p, and markers, m, is given as 19, so we can write the first equation as:

p + m = 19

The cost of the pens, at $0.25 each, is given as 0.25p. Similarly, the cost of the markers, at $0.75 each, is given as 0.75m. The total cost of all the pens and markers is $11.50, so we can write the second equation as:

0.25p + 0.75m = 11.50

Therefore, the system of equations that can be used to solve for the number of pens, p, and the number of markers, m, bought is:

p + m = 19

0.25p + 0.75m = 11.50