document.write( "Question 533218: Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of 2150 . What was the rate charged per hour by each mechanic if the sum of the two rates was 175 per hour? \n" ); document.write( "

Algebra.Com's Answer #351016 by stanbon(75887) $\"\"$ $\"About$

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Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of 2150 . What was the rate charged per hour by each mechanic if the sum of the two rates was 175 per hour?
\n" ); document.write( "------
\n" ); document.write( "r1 + r2 = 175
\n" ); document.write( "10r1 + 15r2 = 2150
\n" ); document.write( "-----
\n" ); document.write( "Multiply thru 1st by 10 to get:
\n" ); document.write( "10r1 + 10r2 = 10*175
\n" ); document.write( "10r1 + 15r2 = 2150
\n" ); document.write( "---
\n" ); document.write( "Subtract and solve for r2
\n" ); document.write( "5r2 = 400
\n" ); document.write( "r2 = $80 per hr
\n" ); document.write( "---
\n" ); document.write( "Solve for r1:
\n" ); document.write( "r1 + r2 = 175
\n" ); document.write( "r1 + 80 = 175
\n" ); document.write( "r1 = $95 per hr
\n" ); document.write( "====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "==================== \n" ); document.write( "

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