Question

Desks cost $25 each and chairs cost $17.50 each. The school only has $5000 to spend on these. Write down an inequality

Answer 1

Step 1. Read the problem.

Step 2. Identify what we are looking for. the highest rent Emma will qualify for

Step 3. Name what we are looking for.

Choose a variable to represent that quantity.

Let r= the rent.

Step 4. Translate into an inequality.

First write a sentence that gives the information to find it.

Emma’s monthly income must be at least three times the rent.

Step 5. Solve the inequality.

Remember, a>x has the same meaning as x<a. \begin{array}{ccc}\hfill 5,625& \ge \hfill & 3r\hfill \\ \\ \hfill 1,755& \ge \hfill & r\hfill \\ \hfill r& \le \hfill & 1,755\hfill \end{array}

Step 6. Check the answer in the problem and make sure it makes sense.

A maximum rent of ?1,755 seems reasonable for an income of ?5,625.

Step 7. Answer the question with a complete sentence. The maximum rent is ?1,755.

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Answer By shreyas