document.write( "Question 356794: Tom 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 12 cents per mile. The second plan costs $55.98 for two days plus 10 cents per mile. How many miles does Tom need to drive for the two plans to cost the same? \n" ); document.write( "
Algebra.Com's Answer #254720 by CharlesG2(834)\"\" \"About 
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Tom 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 12 cents per mile. The second plan costs $55.98 for two days plus 10 cents per mile. How many miles does Tom need to drive for the two plans to cost the same?\r
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\n" ); document.write( "\n" ); document.write( "first plan
\n" ); document.write( "51.98 + 0.12x
\n" ); document.write( "second plan
\n" ); document.write( "55.98 + 0.10x
\n" ); document.write( "set 2 plans equal and solve for x
\n" ); document.write( "51.98 + 0.12x = 55.98 + 0.10x
\n" ); document.write( "0.12x - 0.10x = 55.98 - 51.98
\n" ); document.write( "0.02x = 4
\n" ); document.write( "x = 200 miles for the two plans to cost the same\r
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\n" ); document.write( "\n" ); document.write( "check:
\n" ); document.write( "51.98 + 0.12(200) = 51.98 + 24 = 75.98
\n" ); document.write( "55.98 + 0.10(200) = 55.98 + 20 = 75.98, at 200 miles both equal\r
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