SOLUTION: The drama club is spending $224 to put on a play. They plan to sell tickets at $3.00 each. If they sell n tickets, which of the following represents their profit after expenses?

Question 1103350: The drama club is spending $224 to put on a play. They plan to sell tickets at $3.00 each. If they sell n tickets, which of the following represents their profit after expenses?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
they spent 224.
they sell tickets at 3 dollars apiece.
n is the number of tickets.

profit = revenue - expenses.

revenue = 3 * n
expenses = 224.
profit = p

your equation is p = 3 * n - 224.

replace p with whatever variable you use to represent profit and you should be ok.

they will start to make a profit after they sell about 75 tickets.
thaat's their break even point.

you solve for that by setting p = 0.

when p = 0, the equation becomes 0 = 3 *n -224
add 224 to both sides of this equation to get 224 = 3 * n
divide both sides of this equation by 3 to get 224 / 3 = n
solve for n to get n = 224/3 = 74.67 rounded to 2 decimal places.

when they sell 74 tickets, they still haven't made a profit.
when they sell 75 tickets or more, they are in the green.

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