Question

Write the system of inequality for thisparagraph:Mary needs to purchase supplies ofanswer sheets and pencils for astandardized test to be given to the juniorsat her high school. The number of theanswer sheets needed is at least 5 morethan the number of pencils. The pencilscost $2 and the answer sheets cost $1.Mary's budget for these supplies allowsfor a maximum cost of $400.

Answer 1

Step 1

Let x represent the answer sheet and y represent the number of pencils

From the question;

`\begin{gathered} x\ge5+y \\ x+2y\leq400 \end{gathered}`

Therefore, the system of inequalities is from the paragraph is;

`\begin{gathered} x\ge5+y \\ x+2y\leq400 \end{gathered}`