SOLUTION: A student plans to spend ₦200 on p notebooks. But the price of the notebooks had increased by ₦10. As a result, the number of notebooks the student could buy was reduce

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Question 1120966: A student plans to spend ₦200 on p notebooks. But the price of the notebooks had increased by ₦10. As a result, the number of notebooks the student could buy was reduced by 1. Find the price of each notebook before the increase.
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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"p" notebooks costed N200  ====>  hence, one notebook price was 200%2Fp before increasing.


After increasing, one notebook price becomes 200%2F%28p-1%29, and the difference is N10.


Equation


    200%2F%28p-1%29 - 200%2Fp = 10


To solve it, multiply both sides by  p*(p-1). You will get


    200*p - 200*(p-1) = 10p*(p-1)


    200p - 200p + 200 = 10p^2 - 10p


    10p^2 - 10p - 200 = 0


    p^2 - p - 20 = 0


    (p-5)*(p+4) = 0.


The only positive solution is  p= 5.


Answer.  Before price increasing, one notebook cost was  200%2F5 = N40.

Solved.

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