SOLUTION: A student plans to spend $200.0 on "P"notebooks .but the price of the notebooks had increased by $10.0.As a result,the number of notebooks the student could buy was reduced by 1 .f
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Question 1099615: A student plans to spend $200.0 on "P"notebooks .but the price of the notebooks had increased by $10.0.As a result,the number of notebooks the student could buy was reduced by 1 .find the price of each notebook before the increase
Found 2 solutions by Boreal, stanbon:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
number of notebooks* cost per notebook=200
p* cost=200
cost=200/p
after
number is now p-1* cost is (200/p-1)=200
(200)/(p-1)-10=(200/p), after cost is 10 more, so subtract 10 to make both the same.
multiply everything by p(p-1)
200p-10p(p-1)=200(p-1)
200p-10p^2+10p=200p-200
-10p^2+10p+200=0 or
p^2-p-20=0, dividing both sides by -10
(p-5)(p+4)=0
p=5 notebooks, with original cost of $40 each. ANSWER
after the price increase, for $200, four notebooks could be bought.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A student plans to spend $200.0 on "P"notebooks .but the price of the notebooks had increased by $10.0.As a result,the number of notebooks the student could buy was reduced by 1 .find the price of each notebook before the increase.
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Original Data::
Each notebook cost 200/P dollars
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New Price Data::
Each notebook costs [200/P]+10 dollars
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# he bought = $200/{(200/P)+10} = 200/{200+10P}/P = 200P/{200+10P}
= 20P/{20+P}
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Cheers,
Stan H.
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