Amazon is having a sale where items are sold for 24% less than the original price. If Janet bought a new necklace for a sale price of 51$, what was the original price of the necklace?(Round your answer to the nearest cent.)
Question
Amazon is having a sale where items are sold for 24% less than the original price. If Janet bought a new necklace for a sale price of 51$, what was the original price of the necklace?(Round your answer to the nearest cent.)
Solution
To solve this problem, we need to understand that the sale price is 76% of the original price because the item is sold for 24% less.
Here are the steps to find the original price:
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First, we need to set up the equation. Let's denote the original price as X. We know that 76% of X equals the sale price, which is $51. So, the equation is 0.76X = 51.
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Next, we need to solve the equation for X. To do this, we divide both sides of the equation by 0.76. So, X = 51 / 0.76.
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After doing the division, we find that X = 67.10526315789474.
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Finally, we round this number to the nearest cent to get the original price. So, the original price of the necklace was approximately $67.11.
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