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

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) (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

and if you didn't, it would be

Substituting the equations gives

Thus you would pay the same amount if you bought a book worth $125.
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