Question

Felicia spends $50 on materials to make jewelry, and she plans on selling the pieces for $7 each. A friend donates $5 to get her started. Write an inequality to find the number of pieces of jewelry Felicia needs to sell and make a profit.

Answer 1

Felicia must sell at least 8 pieces of jewelry to make a profit. She spent $55 in total and sells each piece for $7, and the inequality representing her situation is 7x > 55.

Step-by-step explanation:

To find out the number of pieces of jewelry Felicia needs to sell to make a profit, we need to set up an inequality. Felicia spends a total of $55 on her jewelry business ($50 on materials and a $5 donation from her friend). She sells each piece for $7. Let's let x represent the number of pieces she needs to sell. To break even, she would need to recover the $55 spent, so we can set up the inequality 7x > 55.

To find x, we divide both sides of the inequality by 7:

• x > 55/7
• x > 7.857

Since she cannot sell a fraction of a piece of jewelry, she must sell at least 8 pieces to make a profit.

Answer 2

it would be 50=7x+5 (x=the number of pieces Felicia makes)