Define a variable (if necessary) write an equation and solve

label Mathematics
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The original price p for a necklace is the same at two jewelry stores. At store A, the sale price is 60% of the original price. Last Month at Store B, the sale price was $40 less than the original price. This month at store B, the necklace it 80% of last months reduced price. The current sale prices are the same at both stores. What is the original price of the necklace?

Sep 30th, 2015

Thank you for the opportunity to help you with your question!

Original Price = P

Store A: Current price is 60% of the original price

Current Price for A= Pa=60/100*p=0.6P

For store B: Last month sale price was $40 dollar less

Last month of store B = (P-40)

This month price for store B is 80% of last month

Current Price for B = Pb=80/100*(P-40)=0.8(P-40)

But current sale price is the same

        Pa=Pb

       0.6P=0.8(P-40)

      0.6P=0.8P-32

      -0.2P=-32

     P= $ 160

 

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 30th, 2015

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Sep 30th, 2015
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Sep 30th, 2015
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