document.write( "Question 86906: Yuk! I hate applications. I always get mixed up picking picking what goes where in the equations. I had one person show me how to solve it using just equations, another showed me how by using a table. I'm confused with both of them.\r
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document.write( " A truck rental agency charges a daily fee plus a milage fee. Mel was charged $85 for 2 days plus 100 miles, and Sarah was charged $165 for 3 days and 400 miles. What is the agency's daily fee and their milage fee?\r
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document.write( "a) Write the system of equations for this problem.
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document.write( "b) Find the solution.\r
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Algebra.Com's Answer #62849 by Nate(3500)![]() ![]() ![]() You can put this solution on YOUR website! x will be the cost per mile \n" ); document.write( "y will be the cost per day \n" ); document.write( ". \n" ); document.write( "Mel was charged $85 for 2 days plus 100 miles. \n" ); document.write( "85 bucks for the sum of the costs \n" ); document.write( "2 days would cost 2y \n" ); document.write( "100 miles would cost 100x \n" ); document.write( "2y + 100x = 85 \n" ); document.write( ". \n" ); document.write( "Sarah was charged $165 for 3 days and 400 miles. \n" ); document.write( "165 bucks for the sum of the costs \n" ); document.write( "400 miles would cost 400x \n" ); document.write( "3 days would cost 3y \n" ); document.write( "3y + 400x = 165 \n" ); document.write( ". \n" ); document.write( "a) Write the system of equations for this problem. \n" ); document.write( "2y + 100x = 85 \n" ); document.write( "3y + 400x = 165 \n" ); document.write( ". \n" ); document.write( "b) Find the solution. \n" ); document.write( "-4(2y + 100x = 85) \n" ); document.write( "3y + 400x = 165 \n" ); document.write( ". \n" ); document.write( "-8y - 400x = -340 \n" ); document.write( "3y + 400x = 165 \n" ); document.write( ". \n" ); document.write( "-5y = -175 \n" ); document.write( "y = 35 \n" ); document.write( ". \n" ); document.write( "Pick one of the initial equations: \n" ); document.write( "2y + 100x = 85 \n" ); document.write( "2(35) + 100x = 85 \n" ); document.write( "70 + 100x = 85 \n" ); document.write( "100x = 15 \n" ); document.write( "x = 0.15 \n" ); document.write( ". \n" ); document.write( "$35 per day and $0.15 per mile \n" ); document.write( " \n" ); document.write( " |