The Buffalo Philharmonic Orchestra is planning to present performances on two consecutive nights in January.It will cost them $5,000 per night for musicians, theatre rental, and event insurance.The theatre will also take 10% of gross ticket sales.How many tickets must they sell at $10.00 per ticket to raise $1,000 for their organization?
A)1000 tickets
B)1,112 tickets
C)1,223 tickets
D)There is not enough information

Question

Quizplus · Accepted Answer

To raise $1,000, the orchestra needs to earn $2,000 (since the theatre will take 10% of gross ticket sales). 
$2,000 ÷ $10.00 per ticket = 200 tickets per night. 
200 tickets per night x 2 nights = 400 tickets total. 
However, the orchestra still needs to cover the cost of $5,000 per night x 2 nights = $10,000. 
$10,000 + $1,000 (for their organization) = $11,000 total revenue needed. 
$11,000 ÷ $10.00 per ticket = 1,100 tickets. 
Since we round up for ticket sales, the orchestra needs to sell at least 1,223 tickets to raise $1,000 after all expenses. Therefore, the answer is C.

The Buffalo Philharmonic Orchestra Is Planning to Present Performances on Two