MHB How Much Did Renaldo Sell to Earn $3,025 in a Month?

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Renaldo earns a commission of 10.5% on his total sales plus a fixed salary of $2,500. To determine his total sales for a month when he earned $3,025, the equation 0.105x + 2,500 = 3,025 is set up. Solving this equation reveals that his commission was $525, which leads to total sales of $5,000 when divided by the commission rate. An alternative method involves calculating the difference between his earnings and salary to find the commission directly. Ultimately, Renaldo's total sales for that month amounted to $5,000.
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Each month, Renaldo earns a commission of 10.5% of his total sales for the month, plus a salary of $2,500. If Renaldo earns $3,025 in a certain month, what were his total sales?

Let me see.

Renaldo's commission is 0.105 of his total sales.

I understand this to be 0.105x, where x = his total sales.

Plus a salary of 2,500 dollars.

So far, I have 0.105x + 2,500.

In a certain month, Renaldo earns 3,025 dollars.

I say the equation needed is as follows:

0.105x + 2,500 = 3,025

You say?
 
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nycmathdad said:
...
You say?
I say 'tis love that makes the world go round.
 
Yes, that is correct.

Now, solve the equation 0.105x + 2,500 = 3,025 for x.
 
Country Boy said:
Yes, that is correct.

Now, solve the equation 0.105x + 2,500 = 3,025 for x.

My concern is not so much solving for x as it is setting up the right equation.
 
The only reason I can think of for setting up an equation is to be able to solve for x!

Frankly, to answer the question originally asked, I wouldn't have set up an equation at all. I would have argued that since his fixed salary was \$2500 and he earned \$3025, the difference, \$3025- 2500= \$525, was commision. Since you get that commission by multiply his sales by 0.105, you can go from commission to sales by dividing \$525 by 0.105: 525/0.105= \$5000.00. He had sales of \$5000.
 
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