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.