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Carmen had an end-of-the-year celebration for her employees.
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It cost her seven dollars per employee for food and one dollar per employee for an end-of-the-year souvenir.
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If 12 employees attended the party, use the distributive property to find the total cost.
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If we let π₯ stand for the number of employees and it cost seven dollars per employee for food, that would be seven times π₯ and so plus one dollar per employee for an end-of-the-year souvenir, so one times π₯.
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So π₯ is being multiplied to both of these.
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Therefore, we could rewrite it as π₯ times seven plus one.
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However, seven plus one does reduce to be eight.
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So itβs actually equal to eight π₯.
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We could use the distributive property to find the total cost two different ways actually: we could take seven times 12 plus one times 12 or we could just take eight times 12.
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Seven times 12 is 84 and one times 12 is 12.
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84 plus 12 equals 96 or we could have done eight times 12, which is also 96.
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Therefore, the total cost would be 96 dollars.