document.write( "Question 878397: On Wednesday there were no tandem bikes in the shop. There were only bicycles and tricycles. There are a total of 24 seats and 61 wheels in the shop. How many bicycles and how many tricycles are in the shop? \n" ); document.write( "

Algebra.Com's Answer #529934 by Edwin McCravy(20060) $\"\"$ $\"About$

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On Wednesday there were no tandem bikes in the shop. There were only bicycles and tricycles. There are a total of 24 seats and 61 wheels in the shop. How many bicycles and how many tricycles are in the shop?
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document.write( "Two ways to do it: (1) without using algebra and (2) using algebra.\r\n" );
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document.write( "(1) Without algebra:\r\n" );
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document.write( "24x2=48, 61-48=13 tricycles, 24-13=11 bicycles\r\n" );
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document.write( "Explanation:\r\n" );
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document.write( "There are 24 seats, so there are 24 vehicles.\r\n" );
document.write( "If they were all bicycles, there would be only\r\n" );
document.write( "24x2=48 wheels.  However there are 61 wheels, \r\n" );
document.write( "so the extra 61-48 or 13 wheels must belong to\r\n" );
document.write( "the tricycles.  So there are 13 tricycles and \r\n" );
document.write( "24-13=11 bicycles.\r\n" );
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document.write( "(2) using algebra:\r\n" );
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document.write( " B +  T = 24\r\n" );
document.write( "2B + 3T = 61\r\n" );
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document.write( "Solve the first equation for T\r\n" );
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document.write( "                T = 24 - B\r\n" );
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document.write( "Substitute (24-B) for B in\r\n" );
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document.write( "          2B + 3T = 61\r\n" );
document.write( "     2B + 3(24-B) = 61\r\n" );
document.write( "     2B + 72 - 3B = 61\r\n" );
document.write( "          -B + 72 = 61\r\n" );
document.write( "               -B = -11\r\n" );
document.write( "                B = 11   \r\n" );
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document.write( "Substitute B = 11 in\r\n" );
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document.write( "                T = 24 - B\r\n" );
document.write( "                T = 24 - 11\r\n" );
document.write( "                T = 13\r\n" );
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document.write( "Edwin

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