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Marisol is making bracelets and rings to sell at a craft fair. She plans to sell each bracelet for $6 and each ring for $8. The craft fair committee charges a $25 fee to sell at the fair, and it costs Marisol $2 to make a bracelet and $4 to make a ring. If Marisol wants to sell at least $600 in jewelry and spend less than $300 for supplies and the fee, which system of inequalities represents the situation? Let b represent the number of bracelets and r represent the number of rings.

Question

Marisol is making bracelets and rings to sell at a craft fair. She plans to sell each bracelet for 6andeachringfor6 and each ring for 8. The craft fair committee charges a 25feetosellatthefair,anditcostsMarisol25 fee to sell at the fair, and it costs Marisol 2 to make a bracelet and 4tomakearing.IfMarisolwantstosellatleast4 to make a ring. If Marisol wants to sell at least 600 in jewelry and spend less than $300 for supplies and the fee, which system of inequalities represents the situation? Let b represent the number of bracelets and r represent the number of rings.

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Solution

The system of inequalities that represents the situation is:

  1. 6b + 8r >= 600 (This represents the condition that Marisol wants to sell at least 600injewelry.Thepriceofeachbraceletis600 in jewelry. The price of each bracelet is 6 and the price of each ring is $8.)

  2. 2b + 4r + 25 <= 300 (This represents the condition that Marisol wants to spend less than 300forsuppliesandthefee.Itcosts300 for supplies and the fee. It costs 2 to make a bracelet, 4tomakearing,andthefeetosellatthefairis4 to make a ring, and the fee to sell at the fair is 25.)

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Similar Questions

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