document.write( "Question 114672This question is from textbook
\n" );
document.write( ": Please help me with a word problem?\r
\n" );
document.write( "\n" );
document.write( "A truck rental agency charges a daily fee plus a mileage fee. Julie was charged $85 for two days and 100 miles and Christina was charged $165 for three days and 400 miles. What is the agency's daily fee and what is the mileage fee? \n" );
document.write( "
Algebra.Com's Answer #83437 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A truck rental agency charges a daily fee plus a mileage fee. Julie was charged $85 for two days and 100 miles and Christina was charged $165 for three days and 400 miles. What is the agency's daily fee and what is the mileage fee? \n" ); document.write( "---------------------------- \n" ); document.write( "Let daily fee = \"d\" \n" ); document.write( "Let milage fee = \"m\" \n" ); document.write( "---------------- \n" ); document.write( "EQUATION: \n" ); document.write( "2d+100m = 85 \n" ); document.write( "3d+400m = 165 \n" ); document.write( "------------------------------ \n" ); document.write( "Multiply thru the 1st equation by 4 to get: \n" ); document.write( "8d + 400m = 340 \n" ); document.write( "3d + 400m = 165 \n" ); document.write( "---------------- \n" ); document.write( "Subtract 2nd from 1st to get: \n" ); document.write( "5d = 175 \n" ); document.write( "d = $35 (daily fee) \n" ); document.write( "--------------------------- \n" ); document.write( "Substitute into 2d+100m = 85 to solve for \"m\": \n" ); document.write( "70 + 100m = 85 \n" ); document.write( "100m = 15 \n" ); document.write( "m = 0.15 (milage fee) \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |