document.write( "Question 181586This question is from textbook Beginning & Intermediate Algebra
\n" ); document.write( ": I need help with learning how to solve word problems using the system of linear equations. I can do the problem if I just have to use one equation, but I am not quite sure of how to do it when you have to use 2 equations........PLS HELP\r
\n" ); document.write( "\n" ); document.write( "Twice last month, Judy rented a car from Enterprise in Freson, CA and traveled around the Southwest on business, Enterprise rents its cars for a daily fee, plus an additional charge per mile driven. Judy recalls that her first trip lasted 4 days, she drove 450 miles, and the rental cost her $240.50. On her second business tripshe drove 200 miles in 3 days, and paid 146.00 for the rental. Find the daily fee and milage charge.\r
\n" ); document.write( "\n" ); document.write( "Thanks in advance to anyone who is able to help me with this problem :)
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Algebra.Com's Answer #136178 by vleith(2983)\"\" \"About 
You can put this solution on YOUR website!
Let d be the daily cost and m be the cost per mile
\n" ); document.write( "So the cost is given by
\n" ); document.write( "\"Cost+=+Day%2Ad+%2B+Miles+%2Am\"
\n" ); document.write( "For the first trip
\n" ); document.write( "\"240.50+=+4+%2A+d+%2B+450m\"
\n" ); document.write( "For the second trip
\n" ); document.write( "\"146.00+=+3%2Ad+%2B+200m\"\r
\n" ); document.write( "\n" ); document.write( "So you have 2 equations and 2 unknowns. You can solve this\r
\n" ); document.write( "\n" ); document.write( "We'll use substitution
\n" ); document.write( "\"240.50+=+4+%2A+d+%2B+450m\"
\n" ); document.write( "\"%28240.50+-+450m%29%2F4+=+d+\"\r
\n" ); document.write( "\n" ); document.write( "\"146.00+=+3%2Ad+%2B+200m\"
\n" ); document.write( "\"146.00+=+3%2A%28240.50+-+450m%29%2F4+%2B+200m\"
\n" ); document.write( "\"146.00+=+180.375+-+337.5m+%2B+200m\"
\n" ); document.write( "\"-34.375+=+-137.5m\"
\n" ); document.write( "\"0.25+=+m\"
\n" ); document.write( "So it costs 25 cents per mile\r
\n" ); document.write( "\n" ); document.write( "Now use that value for m, to solve for d
\n" ); document.write( "\"146.00+=+3%2Ad+%2B+200m\"
\n" ); document.write( "\"146+=+3d+%2B+200%280.025%29\"
\n" ); document.write( "\"146+=+3d+%2B+50\"
\n" ); document.write( "\"96+=+3d\"
\n" ); document.write( "\"32+=+d\"
\n" ); document.write( "It costs 32 per day\r
\n" ); document.write( "\n" ); document.write( "Check your answer
\n" ); document.write( "\"240.50+=+4+%2A+d+%2B+450m\"
\n" ); document.write( "Does 240.50 = 4*32 + 450(0.25) ???
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