Question

A club is selling hats and jackets as a fundraiser. Their budget is $1500, and they want toorder at least 250 items. Each hat costs $5, and each jacket costs $8.Write a system of inequalities to represent the situation.

Answer 1

Let H be the number hats and J the number of jackets. Then, we can write,

$5H+8J\le1500$

Now, since they want 250 items at least, we can write

$H+J\le250$

Hence, the system of inequalities is

$\begin{gathered} 5H+8J\le1500 \\ H+J\le250 \end{gathered}$