Question

william is going to purchase some writing instruments at the school store, where mechanical pencils cost $2 and pens cost $5. he can spend up to $14, but not more. write the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of mechanical pencils william will buy y = the number of pens william will buy

Explanation:

Step1: Calculate cost of mechanical pencils

The cost of mechanical pencils is $2x$ since each pencil costs $2$ dollars and $x$ is the number of pencils.

Step2: Calculate cost of pens

The cost of pens is $5y$ since each pen costs $5$ dollars and $y$ is the number of pens.

Step3: Set up the inequality

The total cost of mechanical pencils and pens should be at most $14$ dollars. So the inequality is $2x + 5y\leq14$.

Answer:

$2x + 5y\leq14$