Question

A teacher wants to buy graph paper and printer paper. The printer paper costs $2 a pack, while the graphing paper cost $3 a pack. She wants to buy at least 7 packs of paper, but wants to spend at most $30. Write a system of inequalities for the situation.

Answer 1

Given:

A teacher wants to buy graph paper and printer paper.

Let the number of packs of the graph paper = x

And the number of packs of the printer paper = y

The printer paper costs $2 a pack, while the graphing paper cost $3

so, the total cost will be: 2y+3x

She wants to buy at least 7 packs of paper

`x+y\ge7`

And wants to spend at most $30.

`2y+3x\le30`

so, the system of inequalities for the situation will be as follows:

`\begin{gathered} x+y\ge7 \\ 2y+3x\le30 \end{gathered}`