<PRE><B>Question 211998</B>
Tony has twice as much money as Alicia.  She has $16 less than Ralph.  Together they have $200.  How much money does each have? 


Step 1.  Let x=amount of dollars that Alicia has.  


Step 2.  Tony has twice as much as Alicia or 2x dollars


Step 3.  Ralph has x+16 dollars since Alicia has $16 less than Ralph.


Step 4.  Since the total amount is $200 among Alicia, Tony and Ralph, add Steps 1-3.  x+2x+x+16=200.  This yields. 4x+16=200 or 4x=184 where I subtracted 16 from both sides of the equation.


Step 5.  Solving x=184/4=46 dollars.  


a.  Alicia has 46 dollars

b.  Tony has 46*2=92 dollars.

c   Ralph has 46+16=62 dollars.

d.  Total should be $200.  So, 46+92+62=200.  So it checks out.


For Step-By-Step Videos in Introductory Algebra and more word problems, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra.



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