document.write( "Question 178253: The subway fare in a city is $1.55. People who use the subway may buy a monthly coupon book for $12.00. With the coupon book, the fare decreases to $.95. Determine the number of fares in a month the subway must be used such that the total monthly cost without the coupon book is equal to the total monthly cost with the coupon book. \n" ); document.write( "
Algebra.Com's Answer #135318 by MathTherapy(10552)\"\" \"About 
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Let the number of subway fares be s
\n" ); document.write( "Since the total monthly cost without the coupon book should equal the total monthly cost with the coupon book
\n" ); document.write( "Then s(1.55) = s(.95) + 12
\n" ); document.write( "1.55s = .95s + 12
\n" ); document.write( ".6s = 12
\n" ); document.write( "s = 20\r
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\n" ); document.write( "\n" ); document.write( "Therefore, the number of subway fares in order for the total monthly cost without the coupon book to equal the total monthly cost with the coupon book is 20.\r
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\n" ); document.write( "\n" ); document.write( "Checking:
\n" ); document.write( "Total monthly cost without the coupon book: 20(1.55) = $31.00
\n" ); document.write( "Total monthly cost with the coupon book: 20(.95) + 12 = $31.00
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