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Mack's Knick-Knacks is having a clearance sale on costume jewelry sets next week. The manager wants to find how much to charge per set in order to sell $100 worth. Based on previous clearance events, the manager knows he can use the expression – 7p+75 to find the number of sets he will sell based on a set's price, p. Which equation can the manager use to find the price per set needed to sell $100 worth? To the nearest dollar, what is the highest price the manager can use to sell $100 worth of costume jewelry sets?

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Final answer:

The manager can use the equation 7p+75=100 to find the price per set needed to sell $100 worth of costume jewelry sets.

Step-by-step explanation:

The manager can use the equation 7p+75=100 to find the price per set needed to sell $100 worth of costume jewelry sets.

To solve for p, subtract 75 from both sides of the equation: 7p=25.

Then, divide both sides by 7 to find the value of p, which represents the price per set: p=25/7.

Rounded to the nearest dollar, the highest price the manager can use to sell $100 worth of costume jewelry sets is $4.

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