How many ornaments must they sell to equal their expenses?

Question

a club is making and selling ornaments to raise money. They rent a booth at a holiday bazaar for $50 and spend $3 per ornament on materials. They plan to sell ornaments for $8 each. How many ornaments must they sell to equal their expenses?

Answer 1

Let h = # holiday ornaments

Expenses:  e = 3h + 50

Revenue:  r = 8h

 

Set revenue equal to expenses and solve for h

 

8h = 3h + 50

subtract 3h from both sides

5h = 50

divide both sides by 5

h = 10

 

Revenue will equal expenses if they sell 10 ornaments