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20 March, 08:47

Bly makes fleece scarves and sells them for $11 each. The supplies cost her $5 per scarf. Last month, Bly had a profit of $139. Bly made 7 more scarves than she sold. How many scarves did Bly sell last month

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  1. 20 March, 09:06
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    Bly sold 29 scarves last month

    Solution:

    Let "x" be the number of scarves sold

    Bly made 7 more scarves than she sold

    Then, number of scarves made = x + 7

    Bly makes fleece scarves and sells them for $11 each

    Thus for selling "x" scraves, he will get 11x dollars

    Total sales revenue = 11x

    number of scarves made = x + 7

    The supplies cost her $5 per scarf

    Therefore, cost for scarves made = 5 (x + 7)

    Therefore,

    profit = Total sales revenue - cost for scarves made

    profit = 11x - 5 (x + 7)

    profit = 11x - 5x - 35

    profit = 6x - 35

    Last month, Bly had a profit of $139

    139 = 6x - 35

    6x = 174

    x = 29

    Thus Bly sold 29 scarves last month
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