document.write( "Question 943827: Jim and Susan mow lawns. The ratio that compares the amount of time each works is 8:5. They were paid $65 for their work. How much did Susan earn if she worked more than Jim?\r
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document.write( "a. $25
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document.write( "b. $45
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document.write( "c. $30
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document.write( "d. $40 \n" );
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Algebra.Com's Answer #575444 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the ratio of the number of hours susan worked to the number of hours jim worked is 8:5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this means that, for every 13 hours that they both worked, susan worked 8 of them and jim worked 5 of them.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if we assume that they both worked a total of 13 hours, and if we let x equal to amount of money they made per hour, then the equation would become: \n" ); document.write( "13x = 65.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of this equation by 13 and you get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 5 dollars per hour.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since susan worked 8 hours, she makes 40 dollars and jim makes 25 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the problem is a little tricky because they don't tell you the total amount of hours that they both worked, but you will get the same answer regardless.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for example:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "assume they took a total of 26 hours to do the job.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "65 / 26 = 2.50 per hour.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since the ratio is still 8 hours for susan to 5 hours for jim for every 13 hours that they both worked, this means that susan worked 16 hours and jim worked 10 hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16 * 2.50 = 40 dollars \n" ); document.write( "10 * 2.50 = 25 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the answer is the same no matter how many hours they worked to finish the job.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |