document.write( "Question 311444: Hi, My name is Gary Baldwin and I am having trouble setting up this word problem. I am suppose to set it up into 2 linear equations and solve them. OK, here is the problem: Two programmers are working on writing a new program that will check for viruses when incoming messages enter the company’s server. The first programmer, Sammy, plans to mark up the price of his virus program by 35%, whereas the second programmer, Martin, plans to mark up the price of his virus program by 54%. If Sammy’s program sells for $285 and Martin’s program sells for $325, who originally had the cheaper program before the price markup.
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document.write( "Thank you in advance for your help
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document.write( "Sincerely,
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document.write( "Gary Baldwin \n" );
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Algebra.Com's Answer #222776 by Miceandwine(15)![]() ![]() ![]() You can put this solution on YOUR website! Hey there Gary! I believe I can try to help you. Let's get started. \n" ); document.write( "Well, first off, lets get the prices of the original software. I always find questions out like this in what I consider the most simple way: \n" ); document.write( "(original price)(Percent of price)=(changed price) \n" ); document.write( "So how I would set up one of your problems is \n" ); document.write( "(x)(1.35)=(285) the reason why it is 1.35 is because it is 135% of the original price, by the way. \n" ); document.write( "Then, I divide the 1.35 from both sides so the problem looks like this: \n" ); document.write( "x=211.11. \n" ); document.write( "So the original price of Sammy's software is $211.11. Let's move on. \n" ); document.write( "Now, we'll just do the same thing for Martin. \n" ); document.write( "(x)(1.54)=325 and then divide so: \n" ); document.write( "x=211.04 \n" ); document.write( "So Sammy's is just a couple cents more expensive than Martin's! \n" ); document.write( "I guess a way to make this into a linear equation would be to have the y intercept be the original price and the slope would be the percent increase, but I'm not so sure on that part. I'm so sorry! \n" ); document.write( "I hope this helped you a bit! \n" ); document.write( " |