SOLUTION: You pay $25 to be member of a discount club at the bookstore. You pay .8 of the regular price of each book you buy. on one shopping trip to the bookstore, is it possible that the t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You pay $25 to be member of a discount club at the bookstore. You pay .8 of the regular price of each book you buy. on one shopping trip to the bookstore, is it possible that the t      Log On


   

Question 962618: You pay $25 to be member of a discount club at the bookstore. You pay .8 of the regular price of each book you buy. on one shopping trip to the bookstore, is it possible that the total cost of the books you buy could be the same with and without being a member of the discount club. Justify your answer.
Answer by hkwu(60) About Me  (Show Source):
You can put this solution on YOUR website!
Yes. Let C be the total cost of buying your books, and let b be the cost of each book. If you had the membership, your total cost would be
C=0.8b%2B25
and if you didn't, it would be
C=b
Substituting the equations gives
b=0.8b%2B25
0.2b=25
b=125
Thus you would pay the same amount if you bought a book worth $125.
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