document.write( "Question 794721: I'm trying to help my 7th grader with an algebra problem. Boy...I feel stupid! Here it is.\r
\n" ); document.write( "\n" ); document.write( "A bike shop has a bunch of bikes for sale. The problem asks how many of each bike are available. Here is the information given:\r
\n" ); document.write( "\n" ); document.write( "The shop sells tricycles, bicycles, tandem bikes, and unicycles.\r
\n" ); document.write( "\n" ); document.write( "There are 57 helmets available (one for each rider).
\n" ); document.write( "There are 115 wheels total.
\n" ); document.write( "There are 32 regular bikes.
\n" ); document.write( "There are the same same number of tandem bikes as ther are unicycles.\r
\n" ); document.write( "\n" ); document.write( "That is all the information there is. Thanks for your help!\r
\n" ); document.write( "\n" ); document.write( "Rich
\n" ); document.write( "

Algebra.Com's Answer #480738 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
t= tricycle
\n" ); document.write( "b-bicycle
\n" ); document.write( "d= tandem
\n" ); document.write( "u- unicycle\r
\n" ); document.write( "\n" ); document.write( "There are 57 helmets available (one for each rider).
\n" ); document.write( "t+b+2d+u=57
\n" ); document.write( "There are 115 wheels total.
\n" ); document.write( "3t+2b+2d+u=115\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "There are 32 regular bikes.
\n" ); document.write( "b=32\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "There are the same same number of tandem bikes as there are unicycles.
\n" ); document.write( "d=u\r
\n" ); document.write( "\n" ); document.write( "t+b+2d+u=57\r
\n" ); document.write( "\n" ); document.write( "3t+2b+2d+u=115\r
\n" ); document.write( "\n" ); document.write( "b=32\r
\n" ); document.write( "\n" ); document.write( "d=u\r
\n" ); document.write( "\n" ); document.write( "Substitute in the first equation\r
\n" ); document.write( "\n" ); document.write( "t+32+2d+d=57
\n" ); document.write( "t+3d=25>...............................(1)\r
\n" ); document.write( "\n" ); document.write( "substitute in second equation
\n" ); document.write( "3t+64+2d+d=115\r
\n" ); document.write( "\n" ); document.write( "3t+3d=115-64
\n" ); document.write( "3t+3d=51
\n" ); document.write( "t+d=17..................................(2)\r
\n" ); document.write( "\n" ); document.write( "solve 1 & 2 we get
\n" ); document.write( " d= 4 Tandem bikes
\n" ); document.write( "t+d=17
\n" ); document.write( "t=13.... Tricycles\r
\n" ); document.write( "\n" ); document.write( "u = d
\n" ); document.write( "so u =4
\n" ); document.write( "
\n" );