Setting Up And Solving An Inequality Word Problem

Practice setting up and solving an inequality to solve a word problem.

Nate works for a real-estate company. He needs to make at least $3,000 to pay his bills this month.
He receives 3% of his total sales.

How much does Nate need to sell (s) in order to make 3,000?

To find out how much Nate needs to sell (s) in order to make 3,000, we can set up an equation based on the information given.

Let's denote:
- \( s \) as the total sales Nate needs to achieve.
- \( 0.03s \) as the amount Nate earns from his sales (since he receives 3% of his total sales).

We know that Nate needs to make at least 3,000. So, we can set up the equation:

\[ 0.03s \geq 3000 \]

Now, we'll solve for \( s \):

\[ s \geq \frac{3000}{0.03} \]

\[ s \geq 100,000 \]

So, Nate needs to sell at least 100,000 worth of real estate to make 3,000 or more.

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