SOLUTION: john has t tapes and james has ten tapes more than john.Express,in terms of (t), the number of tapes james has. b.john gives james 14 of his tapes.James now has twice as many ta

Then we add 10 to t and get t+10 tapes that James has.

Answer:  James has t+10 tapes

So we subtract 14 from the number of tapes that John has,
so John now has t-14 tapes.

And we must add those 14 tapes to the number of tapes that James has.
So James now has t+10+14 tapes which is the same as t+24 tapes.  

So the t+24 tapes that James has must equal to 2 times the t-14 tapes
which John has.  So we make this equation:

       t+24 = 2(t-14)

write an algebraic expression to represent the amount eavh person has

We solve that equation:

We use the distributive principle on the right side to remove the
parentheses:

       t+24 = 2(t-14)
       t+24 = 2t-28

We add -2t to both sides

   t+24 - 2t = 2t-28 - 2t

We combine like terms:

     -t + 24 = -28

We add -24 to both sides

-t + 24 - 24 = -28 - 24 

          -t = -52

The coefficient of t on the left is -1

         -1t = -52    

We divide both side of the equation by -1

          = 

           t = 52

John started out with 52 tapes and James started out with 10 more, or 62


Therefore John started out with 52, and James had t+10, or 52+10, or 62.

Then John gave James 14 tapes.  Then John had 52-14 or 38 tapes left.  And
James then had 62+14 or 76 tapes,

And if you multiply 38 by 2 you get 76.  

Edwin