document.write( "Question 805518: A carpenter charges $42 per hour for his time and $24 per hour for his apprentice's time. On a certain job the apprentice does some preparatory work alone and then the carpenter finishes the job alone. If the job took a total of 10 hours and the total bill was $325.5, how long did the carpenter work ?
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document.write( "Select the correct answer.
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document.write( " a. 4.75 hours
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document.write( " b. 6.25 hours
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document.write( " c. 5.75 hours
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document.write( " d. 5.25 hours
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Algebra.Com's Answer #485281 by mananth(16946)![]() ![]() You can put this solution on YOUR website! x= Number of hours carpenter worked \n" ); document.write( "y= Number of hours apprentice worked \n" ); document.write( " \n" ); document.write( "1 x + 1 y = 10 .............1 \n" ); document.write( "Total value \n" ); document.write( "42 x + 24 y = 325 1/2 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -24 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "-24 x -24 y = -240 \n" ); document.write( "42 x + 24 y = 325 1/2 \n" ); document.write( "Add the two equations \n" ); document.write( "18 x = 85 1/2 \n" ); document.write( "/ 18 \n" ); document.write( "x = 4 3/4 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1 x + 1 y = 10 \n" ); document.write( "4 3/4 + y = 10 \n" ); document.write( " y = 10 -4 3/4 \n" ); document.write( " y = 5 1/4 \n" ); document.write( " y = 5 1/4 \n" ); document.write( "x= 4 3/4 Number of hours carpenter worked \r \n" ); document.write( "\n" ); document.write( "4.75 hours \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |