document.write( "Question 117860: James is a salesperson for an electronics company. He may choose to receive $500 or 5% commission on his sales as payment for his work. How much does he need to sell to make the 5% offer a better deal? \n" ); document.write( "
Algebra.Com's Answer #85849 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! Let S represent the dollar value of the sales that James makes. \n" ); document.write( ". \n" ); document.write( "You want to know when 5% of the value of those sales (decimal equivalent of 5% is 0.05) is the \n" ); document.write( "equivalent of $500. 5% of a quantity is found by multiplying the quantity by 0.05. So in this \n" ); document.write( "problem 5% of the sales value (S) is found by multiplying S by 0.05. So for this problem you \n" ); document.write( "can write the equation: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "To solve for S, divide both sides of this equation by 0.05. When you do that division, \n" ); document.write( "the left side becomes just S and you have: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "You can get rid of the decimal point in the denominator by multiplying the fraction on \n" ); document.write( "the right side by \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "This tells you that if James sells $10,000 of electronics equipment he will make $500 if he \n" ); document.write( "gets a 5% commission. So if he expects to sell more that $10,000 worth of equipment, he \n" ); document.write( "would be better off taking a commission of 5% rather than just taking $500 for his work. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem and how to solve it. \n" ); document.write( ". \n" ); document.write( " |