document.write( "Question 136565: Could someone plese help me with this? Thank You!\r
\n" ); document.write( "\n" ); document.write( "Cars Plus charges a daily fee plus a mileage fee for renting its cars. Lance was charged $156 for 3 days and 300 miles, while Linda was charged $284 for 5 days and 600 miles. What does Cars Plus charge per day and per mile? \n" ); document.write( "
Algebra.Com's Answer #100022 by ankor@dixie-net.com(22740)\"\" \"About 
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Cars Plus charges a daily fee plus a mileage fee for renting its cars. Lance was charged $156 for 3 days and 300 miles, while Linda was charged $284 for 5 days and 600 miles. What does Cars Plus charge per day and per mile?
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\n" ); document.write( "Let x = per mile fee
\n" ); document.write( "Let y = daily fee
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\n" ); document.write( "Write an equation for each transaction:
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\n" ); document.write( "Mileage cost + daily cost = total cost
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\n" ); document.write( "300x + 3y = 156
\n" ); document.write( "600x + 5y = 284
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\n" ); document.write( "Multiply 1st equation by 2, subtract the 2nd equation:
\n" ); document.write( "600x + 6y = 312
\n" ); document.write( "600x + 5y = 284
\n" ); document.write( "----------------subtracting eliminates x, find y
\n" ); document.write( "0x + y = 28
\n" ); document.write( "y = $28 per day
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\n" ); document.write( "Find x using the 1st equation, substitue 28 for y:
\n" ); document.write( "300x + 3(28) = 156
\n" ); document.write( "300x + 84 = 156
\n" ); document.write( "300x = 156 - 84
\n" ); document.write( "x = \"72%2F300\"
\n" ); document.write( "x = $.24 per mile
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\n" ); document.write( "Check solutions in the 2nd equation:
\n" ); document.write( "600(.24) + 5(28) =
\n" ); document.write( "144 + 140 = 284 confirms our solutions
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\n" ); document.write( "Did this make sense to you? Any questions?\r
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