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?

Question

Mathematics

Darien Vega

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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Answers (1)

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Jay · Answer 1

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