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.

Question

p + m = _____

Answer 1

To set up the system of equations, we can establish two equations based on the information provided.

1. The first equation is based on the total number of pens and markers: \[ p + m = 19 \]

2. The second equation is based on the total cost of the pens and markers: \[ 0.25p + 0.75m = 11.50 \]

So, the complete system of equations is:

\[ \begin{align*}

1. & \quad p + m = 19 \
2. & \quad 0.25p + 0.75m = 11.50 \end{align*} \]

Answer 2

___p + _______m =_______

Answer 3

To express the equations in the requested format with blanks filled in, we can rewrite both equations:

1. For the number of pens and markers: \[ 1p + 1m = 19 \]

So, it can be filled in as: - 1p + 1m = 19

2. For the total cost of pens and markers, we can eliminate the decimals by multiplying the entire equation by 100: \[ 25p + 75m = 1150 \]

So, it can be filled in as: - 25p + 75m = 1150

Thus, your response would be:

• For the first equation: 1p + 1m = 19
• For the second equation: 25p + 75m = 1150