document.write( "Question 1149976: 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 $1750. What was the rate charged per hour by each mechanic if the sum of the two rates was $145 per hour?
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Algebra.Com's Answer #771312 by rothauserc(4718)\"\" \"About 
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let x be the first mechanic's rate and y be the second mechanic's rate
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\n" ); document.write( "(1) x + y = 145
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\n" ); document.write( "(2) 10x + 15y = 1750
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\n" ); document.write( "solve the first equation for x and substitute for x in the second equation
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\n" ); document.write( "x = 145 - y
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\n" ); document.write( "10(145-y) +15y = 1750
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\n" ); document.write( "1450 -10y +15y = 1750
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\n" ); document.write( "5y = 300
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\n" ); document.write( "y = 60
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\n" ); document.write( "x = 145 -60 = 85
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\n" ); document.write( "The first mechanic's rate is $85 per hour and
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\n" ); document.write( "The second mechanic's rate is $60 per hour
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\n" ); document.write( "check the answer by substituting for x and y in equation 2
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\n" ); document.write( "10(85) + 15(60) = 1750
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\n" ); document.write( "850 +900 = 1750
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\n" ); document.write( "1750 = 1750
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