Question

The marketing department of a company has a budget of $30,000 for advertising. A television ad costs $1000, a radio ad costs $200, and a newspaper ad costs $500. The department wants to run 60 ads per month. Their radio ads equal to television ads and newspaper ads combined. t: TV r: Radio n: Newspaper Choose the correct verbal expressions for problems into a system of equations or inequalities.

Answer 1

Let's call t television ad cost, r radio ad cost, n newspaper ad cost.

We know that the budget is $30,000, this is a restriction that can be represented with an inequality.

`1,000t+200r+500n\leq30,000`

Since television ad costs 1,000, radio ads cost 200, and newspaper ads cost 500.

But, they want to run 60 ads per month. Where radio ads equal television ads and newspaper ads combined. So, the other expressions are

`\begin{gathered} t+r+n=60 \\ r=t+n \end{gathered}`

Therefore, all the expressions that represent this problem are

`\begin{gathered} 1,000t+200r+500n\leq30,000 \\ t+r+n=60 \\ r=t+n \end{gathered}`