document.write( "Question 177176: Al will rent a car for the weekend. He can choose one of two payment plans. The first plan costs $51.98 for two days plus 15 cents per mile. The second plan costs $39.98 for two days plus 20 cents per mile. How many miles does Al need to drive for the two plans to cost the same?
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Algebra.Com's Answer #132244 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let's write the cost equations (C) for both car rentals:
\n" ); document.write( " $\"C%5B1%5D+=+51.98%2B0.15m\"$ where m = number of miles driven.
\n" ); document.write( " $\"C%5B2%5D+=+39.98%2B0.20m\"$
\n" ); document.write( "Since you need to know when the costs will be equal, set these two equations equal to each other.
\n" ); document.write( " $\"51.98%2B0.15m+=+39.98%2B0.20m\"$ Now you can solve for m, the number of miles. Subtract 0.15m from both sides.
\n" ); document.write( " $\"51.98+=+39.98%2B0.05m\"$ Now subtract 39.98 from both sides.
\n" ); document.write( " $\"12+=+0.05m\"$ Finally, divide both sides by 0.05
\n" ); document.write( " $\"240+=+m\"$
\n" ); document.write( "So, Al must drive 240 miles for the costs of both plan to be the same.
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