Question

Joel sells ice cream cones at the county fair. He has to rent the equipment for $36 and spend $0.52 on ingredients for each cone. What is the minimum number of ice cream cones Joel must sell at $1.40 each in order to make a profit?

Answer 1

Joel must sell minimum 41 cones in order to make a profit.

Explanation:

We are given the following in the question:

Selling price of 1 cone = $1.40

Rent on equipment = $36

Cost of ingredients on each cone = $0.52

Let x be the amount of cones.

Then, in order to have a profit. the total selling price should be greater than the cost price.

Thus, we can write the equation:

`1.40x - (36 + 0.52x) > 0\\0.88x > 36\\\Rightarrow x > 40.91\\\Rightarrow x = 41`

Thus, 41 is the minimum number of cones that Joel must sell in order to make a profit.