document.write( "Question 794721: I'm trying to help my 7th grader with an algebra problem. Boy...I feel stupid! Here it is.\r
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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
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document.write( "The shop sells tricycles, bicycles, tandem bikes, and unicycles.\r
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document.write( "There are 57 helmets available (one for each rider).
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document.write( "There are 115 wheels total.
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document.write( "There are 32 regular bikes.
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document.write( "There are the same same number of tandem bikes as ther are unicycles.\r
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document.write( "That is all the information there is. Thanks for your help!\r
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document.write( "Rich \n" );
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Algebra.Com's Answer #480738 by mananth(16946)![]() ![]() 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( " |