Question 1204692
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For this problem, we look for a solution, which is integer number of cents.


In this problem, the solution CAN NOT be an arbitrary real number, if it is not an integer number of cents.



            Agree ?



The given problem has no answer for the price in integer number of cents.


So, the problem as posed in the post is  DEFECTIVE:  it has no a proper solution, at all.



Yes, the formal solution to equations could be obtained and expressed using fractions.


But at the end a person who solves the problem, must check if the fraction represents 

an integer number of cents.


If not  (as in this case),  then the formal solution of equations in fractions 

is not a solution to the problem.



Is everything clear to you from my explanation ?



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In such conditions, it is the student’s a voluntary duty to report to the teacher about the defect found,
and it is the teacher’s duty to inform the author of a textbook and/or the publishing company about this fact.



Usually, the authors are very happy to get a feedback from readers/students,

and are very grateful for noticing their mistakes.