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31 July, 22:10

Jenna is making necklaces (n) and bracelets (b) to sell at a craft fair. The price of each necklace is $12 and the price of each bracelet is $7. Jenna has enough beads and wire to make no more than 30 pieces of jewelry. She would like to make at least $240 at the fair. Which system of inequalities models this situation?

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  1. 31 July, 22:33
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    12n+7b ≥240

    n+b ≤ 30

    Step-by-step explanation:

    Hi, to answer this question we have to write 2 equations:

    First one:

    The number of necklaces (n) plus the number of bracelets (b) must be less or equal to the amount of pieces of jewelry that she can make (30).

    n+b ≤ 30

    Second one:

    The product of the number of necklaces (n) and the price per necklace (12); plus The product of the number of bracelets (b) and the price per bracelet (7); must be greater or equal to the amount of money that she wants to make (240).

    12n+7b ≥240

    The system of equations is:

    12n+7b ≥240

    n+b ≤ 30
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