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26 October, 09:34

A fashion designer makes and sell hats. The materials for each hats costs $5.50. The hats sell for $12.50 each. The designer spends $1400 an advertising. How many hat must the designer sell to break even

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  1. 26 October, 13:02
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    200 hats

    Step-by-step explanation:

    x = the number of hats sold

    y = the number of dollars of expense or income

    y = 12.5x {the income is $12.50 times the hats sold}

    y = 5.5x + 1400 {the expense is $5.50 times the hats sold plus $1400 in advertising}

    To break even means for the income to be equal to the expense.

    12.5x = 5.5x + 1400 {substituted 12.5x, in for y, into bottom equation, setting income equal to expense}

    7x = 1400 {subtracted 5.5x from each side}

    x = 200 {divided each side by 7}

    The designer must sell 200 hats to break even
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