Bunuel wrote:

As a salesperson, Alice can choose one of two methods of annual payment: either an annual salary of $45,500 with no commission or an annual salary of $12,500 plus a 25 percent commission on her total annual sales. What must her total annual sales be to give her the same annual pay with either method?

A. $115,000

B. $132,000

C. $165,000

D. $182,000

E. $195,000

Since the correct answer is right there in front of us, let's use the answers! This is an Alternative approach.

Let's start with the median - C. If her annual sales are 165,000, Alice's commission is 25% * 165,000 = a bit more than 40,000.

Then her total salary is a bit more than 12,500 + 40,000 = 52,500 - too much!

(C) is eliminated as are the larger (D) and (E).

Let's try B. Then Alice's commission is 25% * 132,000 = 25% * (120,000 + 12,000) = 30,000 + 3,000 = 33,000

Her total salary in this case is 33,000 + 12,500 = 45,500. Yes!

(B) is our answer.

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