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9 April, 04:02

You sell bracelets for $2 each and necklaces for $3 each at a local flea market. You collect$96, selling a total of 36 jewelry items. how many of each type did you sell?

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  1. 9 April, 06:50
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    I sell 12 bracelets and 24 necklaces.

    Step-by-step explanation:

    The selling price of each bracelet is $2 and that of each necklace is $3.

    I collect $96, selling a total of 36 jewelry items.

    Let us assume that I sell x bracelets and y necklaces.

    So, x + y = 36 ... (1) and

    2x + 3y = 96 ... (2)

    Now, solving equations (1) and (2) we get, 3y - 2y = 96 - 72

    ⇒ y = 24

    Hence, from equation (1) we get x = 36 - y = 36 - 24 = 12

    Therefore, I sell 12 bracelets and 24 necklaces. (Answer)
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