document.write( "Question 1199189: A bus driver who starts with a large empty bus picks us 11 riders at every odd- numbered stop and drops off 5 riders at every even-numbered stop. The stop after which the bus will first contain more than 165 passengers is stop number
\n" ); document.write( " a) 27 b) 28 c) 52 d) 53 e) 55 \n" ); document.write( "
Algebra.Com's Answer #832921 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The correct answer is 53.\r\n" );
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\n" ); document.write( "A bus driver who starts with a large empty bus picks us 11 riders at every odd-
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\n" ); document.write( "which the bus will first contain more than 165 passengers is stop number
\n" ); document.write( " a) 27 b) 28 c) 52 d) 53 e) 55
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document.write( "Each pair of stops gains +11-5 or 6 passengers.  So, immediately after every \r\n" );
document.write( "even-numbered stop, 6 more passengers are on the bus than were on the bus\r\n" );
document.write( "at the previous even-numbered stop. \r\n" );
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document.write( "We are looking for the largest even number of stops such that\r\n" );
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document.write( "6n < 165\r\n" );
document.write( " n < 27.5\r\n" );
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document.write( "The largest even number of stops less than 27.5 is 26.\r\n" );
document.write( "There will have been 26 even-numbered stops on the 52nd stop, so there will be\r\n" );
document.write( "26*6=156 passengers just after the 52nd stop.  The 53rd stop will increase the\r\n" );
document.write( "number of passengers to 156+11=167.\r\n" );
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document.write( "So the number of stops asked for is 53, the first stop that puts the number of\r\n" );
document.write( "passengers over 165.\r\n" );
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document.write( "The output of a brute force computer program to justify my answer:\r\n" );
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document.write( "Just after stop no. 1, there are 11 passengers.\r\n" );
document.write( "Just after stop no. 2, there are 6 passengers.\r\n" );
document.write( "Just after stop no. 3, there are 17 passengers.\r\n" );
document.write( "Just after stop no. 4, there are 12 passengers.\r\n" );
document.write( "Just after stop no. 5, there are 23 passengers.\r\n" );
document.write( "Just after stop no. 6, there are 18 passengers.\r\n" );
document.write( "Just after stop no. 7, there are 29 passengers.\r\n" );
document.write( "Just after stop no. 8, there are 24 passengers.\r\n" );
document.write( "Just after stop no. 9, there are 35 passengers.\r\n" );
document.write( "Just after stop no. 10, there are 30 passengers.\r\n" );
document.write( "Just after stop no. 11, there are 41 passengers.\r\n" );
document.write( "Just after stop no. 12, there are 36 passengers.\r\n" );
document.write( "Just after stop no. 13, there are 47 passengers.\r\n" );
document.write( "Just after stop no. 14, there are 42 passengers.\r\n" );
document.write( "Just after stop no. 15, there are 53 passengers.\r\n" );
document.write( "Just after stop no. 16, there are 48 passengers.\r\n" );
document.write( "Just after stop no. 17, there are 59 passengers.\r\n" );
document.write( "Just after stop no. 18, there are 54 passengers.\r\n" );
document.write( "Just after stop no. 19, there are 65 passengers.\r\n" );
document.write( "Just after stop no. 20, there are 60 passengers.\r\n" );
document.write( "Just after stop no. 21, there are 71 passengers.\r\n" );
document.write( "Just after stop no. 22, there are 66 passengers.\r\n" );
document.write( "Just after stop no. 23, there are 77 passengers.\r\n" );
document.write( "Just after stop no. 24, there are 72 passengers.\r\n" );
document.write( "Just after stop no. 25, there are 83 passengers.\r\n" );
document.write( "Just after stop no. 26, there are 78 passengers.\r\n" );
document.write( "Just after stop no. 27, there are 89 passengers.\r\n" );
document.write( "Just after stop no. 28, there are 84 passengers.\r\n" );
document.write( "Just after stop no. 29, there are 95 passengers.\r\n" );
document.write( "Just after stop no. 30, there are 90 passengers.\r\n" );
document.write( "Just after stop no. 31, there are 101 passengers.\r\n" );
document.write( "Just after stop no. 32, there are 96 passengers.\r\n" );
document.write( "Just after stop no. 33, there are 107 passengers.\r\n" );
document.write( "Just after stop no. 34, there are 102 passengers.\r\n" );
document.write( "Just after stop no. 35, there are 113 passengers.\r\n" );
document.write( "Just after stop no. 36, there are 108 passengers.\r\n" );
document.write( "Just after stop no. 37, there are 119 passengers.\r\n" );
document.write( "Just after stop no. 38, there are 114 passengers.\r\n" );
document.write( "Just after stop no. 39, there are 125 passengers.\r\n" );
document.write( "Just after stop no. 40, there are 120 passengers.\r\n" );
document.write( "Just after stop no. 41, there are 131 passengers.\r\n" );
document.write( "Just after stop no. 42, there are 126 passengers.\r\n" );
document.write( "Just after stop no. 43, there are 137 passengers.\r\n" );
document.write( "Just after stop no. 44, there are 132 passengers.\r\n" );
document.write( "Just after stop no. 45, there are 143 passengers.\r\n" );
document.write( "Just after stop no. 46, there are 138 passengers.\r\n" );
document.write( "Just after stop no. 47, there are 149 passengers.\r\n" );
document.write( "Just after stop no. 48, there are 144 passengers.\r\n" );
document.write( "Just after stop no. 49, there are 155 passengers.\r\n" );
document.write( "Just after stop no. 50, there are 150 passengers.\r\n" );
document.write( "Just after stop no. 51, there are 161 passengers.\r\n" );
document.write( "Just after stop no. 52, there are 156 passengers.\r\n" );
document.write( "Just after stop no. 53, there are 167 passengers.\r\n" );
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document.write( "So, when the bus starts after the 53rd stop, there \r\n" );
document.write( "will be 167 > 165 passengers.\r\n" );
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document.write( "Edwin
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