Question

Write and solve an inequality for the problem.

It cost $660 to put on the school play. How many tickets must be sold at $6 a piece in order to make a profit?

Answer 1

more than 110

Explanation:

You want to know the number of $6 tickets that must be sold to pay for the $660 cost of a school play and make a profit.

Profit

The profit is the difference between revenue and cost. The revenue from the sale of n tickets will be 6n. We want the profit to be positive, so we want ...

6n -660 > 0 . . . . . . positive profit

n -110 > 0 . . . . . . divide by 6

n > 110 . . . . . . add 110

More than 110 tickets must be sold to make a profit.

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Additional comment

Sale of exactly 110 tickets will cover the cost, but there will be no profit.