Question

Lucas is selling ribbons to raise money for the Juvenile Diabetes Research Foundation. His expenses include $46 for materials, plus $0.02 per ribbon. If Lucas charges $0.25 per ribbon, how many ribbons does he need to sell to break even

Answer 1

He needs to sell 200 ribbons to break even.

Explanation:

The break even point is where the expenses are equal to the earnings, so you can write an expression that indicates that Lucas' expenses are equal to his earnings:

46+0.02x=0.25x

Now, you can solve for x to find the answer:

46=0.25x-0.02x

46=0.23x

x=46/0.23

x=200

According to this, the answer is that he needs to sell 200 ribbons to break even.