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During a yard sale, Anthony had two pairs of shoes that he expected to sell for the same price.
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One pair of shoes sold for five dollars more than expected and the other sold for two dollars less than expected.
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What was the difference between the selling prices?
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We have shoe number one and shoe number two.
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Anthony expected them both to be sold for the same price.
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We’ll call that 𝑃.
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Shoe number one sold five more than expected, 𝑃 plus five.
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Shoe number two sold two less than expected, 𝑃 minus two.
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We find the difference between the selling prices by taking the price of shoe one 𝑃 plus five and subtracting the price of shoe two 𝑃 minus two.
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𝑃 plus five and then we distribute our subtraction minus 𝑃 minus a negative would be plus two.
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Combine like terms.
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Positive 𝑃 minus 𝑃 cancels out and five plus two equals seven.
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The price difference between the two pairs was seven dollars.