document.write( "Question 154928: I have 51 handle bars and 116 wheels. Using all the parts how many tricycles and bicycles can I assemble? \n" ); document.write( "

Algebra.Com's Answer #114059 by stanbon(75887) $\"\"$ $\"About$

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I have 51 handle bars and 116 wheels. Using all the parts how many tricycles and bicycles can I assemble?
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "Let # of tricycles be \"t\".
\n" ); document.write( "Let # of bicycles by \"b\".
\n" ); document.write( "---------------------------
\n" ); document.write( "Handle bar equation: t + b = 51
\n" ); document.write( "Wheel equation.....: 3t + 2b = 116
\n" ); document.write( "-------------------------------------
\n" ); document.write( "Rewrite the equations:
\n" ); document.write( "3t + 3b = 153
\n" ); document.write( "3t + 2b = 116
\n" ); document.write( "------------------
\n" ); document.write( "Subtract 2nd from 1st to solve for \"b\":
\n" ); document.write( "b = 37 (# of bicycles)
\n" ); document.write( "------
\n" ); document.write( "Substitute into t+b = 51 to solve for \"t\"
\n" ); document.write( "t + 37 = 51
\n" ); document.write( "t = 14 (# of tricycles)
\n" ); document.write( "===========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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