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Andre has been offered an entry-level job. The company offered him $43,000 per year plus 3.5% of his total sales. Andre knows that the average pay for this job is $57,000. What would Andre's total sales (in dollars) need to be for his pay to be at least as high as the average pay for this job?

1 Answer

5 votes

Final answer:

Andre's total sales need to be $400,000 for his pay to be equal to the average pay for the job, which is $57,000, taking into account his base salary of $43,000 plus a 3.5% commission rate.

Step-by-step explanation:

To determine how much Andre's total sales need to be for his pay to be at least as high as the average pay for the job, which is $57,000, we can set up an equation where $43,000 is his basic annual salary, 3.5% is the commission rate on his total sales, and x represents the unknown total sales amount.

The formula for Andre's total pay would be:
Total Pay = Base Salary + Commission from Sales
Total Pay = $43,000 + 0.035x

To find out when Total Pay is equal to the average pay of $57,000, we substitute and solve for x:
$57,000 = $43,000 + 0.035x
$57,000 - $43,000 = 0.035x
$14,000 = 0.035x

Dividing both sides of the equation by 0.035 gives us:
x = $14,000 / 0.035
x = $400,000

Therefore, Andre's total sales need to be $400,000 for his pay to be at least as high as the average pay for his job.

User Christoph Hummler
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