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September 1st, 2011, 09:26 PM  #1 
Newbie Joined: Aug 2011 Posts: 17 Thanks: 0  Algebra word problem...
A fish was caught whose tail weighed 9 lbs, its head weighed as much as its tail plus half its body. Its body weighed as much as its head and tail. What did the fish weigh? Any help and explanation would be great. 
September 1st, 2011, 09:33 PM  #2 
Global Moderator Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4  Re: Algebra word problem...
Write out what you know, and what you don't! Tail = 9 Head = Tail + (1/2)*Body , so Head = 9 + (1.2)*Body Body = Head + Tail Body = 9 + (1/2)*Body + 9 You should be able to solve that last one, then use the result to find the Head and Tail 
September 1st, 2011, 09:38 PM  #3 
Newbie Joined: Aug 2011 Posts: 17 Thanks: 0  Re: Algebra word problem...
That's what we are not understanding is how to solve the last one, there are too many variables.

September 1st, 2011, 09:42 PM  #4 
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: Algebra word problem...
The last equation has only 1 variable...Body. Gather like terms, then solve.

September 1st, 2011, 10:03 PM  #5 
Newbie Joined: Aug 2011 Posts: 17 Thanks: 0  Re: Algebra word problem...
18+1/2 body=b Still not getting it. Have to have the teacher explain a little better tomorrow, thanks anyway.. 
September 1st, 2011, 10:11 PM  #6 
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: Algebra word problem...
Now don't leave just yet...what we have is: Body = 9 + (1/2)*Body + 9 Gather like terms on the right, then subtract (1/2)*Body from both sides: (1/2)*Body = 18 Multiply both sides by 2: Body = 36 
September 1st, 2011, 10:25 PM  #7 
Newbie Joined: Aug 2011 Posts: 17 Thanks: 0  Re: Algebra word problem...
Got it, Body=9+9+half body, we have 18 already which is the other half of the body, 9+9+18=36 Body=36 Head= 9+18=27 tail=9 Fish = 72lbs Wow it's been way to long for me.... 
September 1st, 2011, 10:28 PM  #8 
Newbie Joined: Aug 2011 Posts: 17 Thanks: 0  Re: Algebra word problem...
Thanks for your help, also gave the site props on Facebook.

September 1st, 2011, 10:52 PM  #9 
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: Algebra word problem...
Well, for my small part you're welcome, and welcome to the forum! Thanks for the shoutout on Facebook. 
September 2nd, 2011, 02:12 AM  #10  
Global Moderator Joined: Dec 2006 Posts: 20,089 Thanks: 1902  Quote:
 

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