document.write( "Question 157043: Al makes $30 an hour. Bill makes $20 an hour. Bill joins Al on the job four hours after Al started. They finish the job, and the total cost for labor comes to $470. How many hours did each work? \r
\n" ); document.write( "\n" ); document.write( "By trial and error, I know that the number of hours is 11 for Al and 7 for Bill. I just need to show the work. \r
\n" ); document.write( "\n" ); document.write( "Al - 11 hours @ $30/hour = 330
\n" ); document.write( "Bill - 7 hours @ $20/hour = 140
\n" ); document.write( " Total = 470\r
\n" ); document.write( "\n" ); document.write( "Here is the equation that I came up with for figuring the number of hours each worked - where X=Al's hours and X-4 = Bill's hours. I'm fairly certain this equation is correct. \r
\n" ); document.write( "\n" ); document.write( "$470 = 30X + 20(x-4)\r
\n" ); document.write( "\n" ); document.write( "It's at this point that I get stuck. Any help would be greatly appreciated!
\n" ); document.write( "

Algebra.Com's Answer #115805 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!
Your on the ball amigo but a little bit of refinishing to do there.
\n" ); document.write( "Okay, let \"x\"= no. of hours they work
\n" ); document.write( "But you see, Al is already ahead of 4 hours, so total no. of hours for him is \"x%2B4\" right? Then putting everything into equation:
\n" ); document.write( "Al=\"%28%2430%2Fhr%29%28x%2B4%29\" plus
\n" ); document.write( "Bill= \"%28%2420%2Fhr%29%28x%29\" equals
\n" ); document.write( "Total=$470
\n" ); document.write( "\"30%28x%2B4%29%2B20%28x%29=470\"
\n" ); document.write( "\"30x%2B120%2B20x=470\"
\n" ); document.write( "\"50x=470-120\"
\n" ); document.write( "\"50x=350\" ---> \"cross%2850%29x%2Fcross%2850%29=cross%28350%297%2Fcross%2850%29\"
\n" ); document.write( "\"x=7hours\" ---------------> no. of hours Bill worked
\n" ); document.write( "\"x%2B4=7%2B4=11hours\" --------> no. of hours Al worked
\n" ); document.write( "In doubt? let's check;
\n" ); document.write( "Al+Bill=$470
\n" ); document.write( "\"%2830%2A11%29%2B%2820%2A7%29=470\"
\n" ); document.write( "\"330%2B140=470\"
\n" ); document.write( "\"470=470\"
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
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