document.write( "Question 120313: Here is the question in its exact words,\r
\n" ); document.write( "\n" ); document.write( "There are a different number of bicycles, tandem bicycles, and tricycles in the Wheel Shop. There are a total of 135 seats, 118 front handle bars (that steer the bike), and 269 wheels. How many are bicycles, tandem bicycles, and tricycles are there in the Wheel Shop? (Hint: A tandem bike has two seats. Bicycles and tricycles have one seat. All of the cycles have one set of front handle bars that steer the bike. A bicycle and tandem bike have two wheels. A tricycle has three wheels.).\r
\n" ); document.write( "\n" ); document.write( "Please try to solve this as soon as possible,
\n" ); document.write( "Thank You
\n" ); document.write( "

Algebra.Com's Answer #88191 by checkley71(8403)\"\" \"About 
You can put this solution on YOUR website!
135=1T+1B+2TB
\n" ); document.write( "-(118=T+B+TB) NOW SUBTRACT EQUATION 2 FROM EQAUTION 1.
\n" ); document.write( "----------------------------
\n" ); document.write( "17=TB IS THE NUMBER OF TANDEM BIKES.
\n" ); document.write( "269=3T+2B+2*17
\n" ); document.write( "269=3T+2B+34
\n" ); document.write( "269-34=3T+2B
\n" ); document.write( "235=3T+2B NUMBER OF WHEELS.
\n" ); document.write( "118=T+B+17
\n" ); document.write( "118-17=T+B
\n" ); document.write( "101=T+B NUMBER OF HANDLE BARS. NOW MULTIPLY THIS EQUATION BY -2 AND ADD TO THE WHEEL EQUATION:
\n" ); document.write( "235=3T+2B
\n" ); document.write( "-202=-2T-2B
\n" ); document.write( "------------------
\n" ); document.write( "33=T OR THE NUMBER OF TRICYCLES.
\n" ); document.write( "118=33+B+17
\n" ); document.write( "118-33-17=B
\n" ); document.write( "68=B OF THE NUMBER OF BIKES.
\n" ); document.write( "PROOF
\n" ); document.write( "269=3*33+2*68+2*17
\n" ); document.write( "269=99+136+34
\n" ); document.write( "269=269
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