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March 20th, 2014, 08:44 AM  #1 
Newbie Joined: Mar 2014 Posts: 2 Thanks: 0  Linear equation word problem
I am having the most difficult time trying to determine how to set up and solve this word problem, can anyone help? 6.The price of an entertainment system at Electronics One is $220 less than twice the price of the same system at Electronics Two.The difference in price between the system at Electronics One and Electronics Two is $175. Which system of linear equations can be used to determine the price of the system at each store? 
March 20th, 2014, 09:16 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,209 Thanks: 517 Math Focus: Calculus/ODEs  Re: Linear equation word problem
Let A be the price at Electronics One and B be the price at Electronics Two. Then we may state: 
March 21st, 2014, 06:19 AM  #3 
Newbie Joined: Mar 2014 Posts: 2 Thanks: 0  Re: Linear equation word problem
Thank you so much!

March 21st, 2014, 10:02 AM  #4 
Senior Member Joined: Mar 2014 Posts: 112 Thanks: 8 
Let A  2B = 220. If A > B then we have A  B = 175 i.e. B = 395. Plug in this and we get A = 395 + 175 = 570. If A < B then we have B  A = 175 i.e. B = 45. Plug in this and we get A = 45  175 = 130. Since it's price A > B is correct. 
March 21st, 2014, 12:21 PM  #5 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,796 Thanks: 970  Re: Linear equation word problem
a + 2b = 220 a  b = 175 Add to get b = 395 ; so a = 570 John, why can't we simply stop here? 
March 21st, 2014, 06:52 PM  #6 
Senior Member Joined: Mar 2014 Posts: 112 Thanks: 8 
Because MarkFL gave us such equation. You probably got it correctly. Now my question is would it still work for B  A = 175? I edited my above post, so incorrect for A < B. 
March 22nd, 2014, 06:03 PM  #7  
Global Moderator Joined: Dec 2006 Posts: 20,101 Thanks: 1905  Quote:
 
March 22nd, 2014, 09:21 PM  #8 
Senior Member Joined: Mar 2014 Posts: 112 Thanks: 8 
Thanks, skipjack. If I read the original post more carefully I should have got A = 2B  220 i.e. A  2B = 220.

March 22nd, 2014, 09:47 PM  #9  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,796 Thanks: 970  Re: Quote:
 

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