document.write( "Question 1190862: Chloe has been offered positions by two car dealers. The first company pays a salary of $19,000 plus a commission of $500 for each car sold. The second pays a salary of $14,000 plus a commission of $700 for each car sold. How many cars would need to be sold to make the total pay the same?
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Algebra.Com's Answer #822614 by Theo(13342)\"\" \"About 
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equation for first company:
\n" ); document.write( "y = 19000 + 500 * x
\n" ); document.write( "equation for second company:
\n" ); document.write( "y = 14000 + 700 * x
\n" ); document.write( "y is the total compensation.
\n" ); document.write( "x is the number of cars sold.
\n" ); document.write( "the compensation is equal when the first equation is equal to the second.
\n" ); document.write( "you get:
\n" ); document.write( "19000 + 500 * x = 14000 + 700 * x
\n" ); document.write( "subtract 14000 from both sides and subtract 500 from both sides to get:
\n" ); document.write( "5000 = 200 * x
\n" ); document.write( "solve for x to get:
\n" ); document.write( "x = 5000 / 200 = 25
\n" ); document.write( "the compensation will be the same when 25 cars are sold.
\n" ); document.write( "19000 + 500 * 25 = 31500
\n" ); document.write( "14000 + 700 * 25 = 31500
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