document.write( "Question 832447: a 36 mcm long pipe is cut into two pieces in the ratio of 1:2.how long is each pipe?
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Algebra.Com's Answer #502056 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi, there--\r\n" );
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document.write( "THE PROBLEM:\r\n" );
document.write( "A 36 mcm pipe is cut into two pieces in the ratio of 1:2. How long is each pipe?\r\n" );
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document.write( "A SOLUTION:\r\n" );
document.write( "We know that the pipe is 36mcm. The ratio of 1:2 tells us that after the cut, one piece is two times \r\n" );
document.write( "longer that the other. For example, if the short piece is 5mcmc, the long one is 10mcm. If the short\r\n" );
document.write( "piece is 6mcm, the long piece is 12.\r\n" );
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document.write( "One way to solve this is through trial and error. We keep scaling up until we find a combination whose \r\n" );
document.write( "sum is 36mcm. For example,\r\n" );
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document.write( "5 + 10 = 15 too small\r\n" );
document.write( "6 + 12 = 18 too small\r\n" );
document.write( "7 + 14 = 21 too small\r\n" );
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document.write( "15 + 30 = 45 too large\r\n" );
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document.write( "12 + 24 = 36 just right!\r\n" );
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document.write( "This is a good method when you aren't sure that's going on. You use trial and error and look for patterns. \r\n" );
document.write( "For instance, I notice that when I make the short piece 1 mcmc longer, the length of the whole pipe grows \r\n" );
document.write( "by 3 mcmc.\r\n" );
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document.write( "This method can be time consuming, though. Here is a way to use algebra to speed things along.\r\n" );
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document.write( "Let x length of the short piece. Then the long piece must be 2x because the ratio is 1:2.\r\n" );
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document.write( "When we add the lengths of the cut pieces together, the sum is 36mcm. So,\r\n" );
document.write( "x + 2x = 36\r\n" );
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document.write( "Now solve for x. Combine like terms. (x+2x=3x.)\r\n" );
document.write( "3x = 36\r\n" );
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document.write( "Divide both sides by 3. (3x/3 is x and 36/3 is 12.)\r\n" );
document.write( "3x/3 = 36/3\r\n" );
document.write( "x = 12\r\n" );
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document.write( "In the context of this problem, x=12 means that the sort pipe is 12 mcm long. The longer pipe is\r\n" );
document.write( "twice as long or 24mcm.\r\n" );
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document.write( "Hope this helps! Feel free to email if you have any questions about the solution.\r\n" );
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document.write( "Good luck with your math,\r\n" );
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document.write( "Mrs. F\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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