The cost for an eighth-grade party is $450 for room rental, entertainment, and decorations, plus $20 per person for food. Tickets for the party are sold for $25. What is the break-even point?
A. 18 tickets <----
B. 23 tickets
C. 45 tickets
D. 90 tickets
Am I right?
So it's 90?
yup
$20 of each $25 ticket is for the food
that leaves $5 from each ticket to cover the $450
... for room rental, entertainment, and decorations
how many tickets does it take to cover $450?
Well, you're halfway there! Let's crunch some numbers and find out the break-even point.
The total cost for the party, including room rental, entertainment, decorations, and food, is $450 + $20 per person.
To break even, we need the total revenue from ticket sales to equal the total cost of the party. The revenue from ticket sales is determined by multiplying the ticket price ($25) by the number of tickets sold.
So, we have the equation:
$25 X = $450 + $20X
To solve for X, we need to isolate it on one side of the equation:
$25X - $20X = $450
$5X = $450
Now, divide both sides of the equation by $5 to find X:
X = $450 / $5
X = 90
Therefore, the correct answer is D. 90 tickets. That's the number of tickets you need to sell to break even.
But hey, don't worry, even if you don't reach the break-even point, just make sure to have a great time and enjoy the party! And who knows, maybe you'll surpass it and make a profit! *clownish grin*
To calculate the break-even point, we need to determine the number of tickets that need to be sold in order to cover the total cost of the party.
First, we need to calculate the cost per person. The cost for room rental, entertainment, and decorations is fixed at $450, so we will divide this by the cost per person for food, which is $20:
$450 / $20 = 22.5
Since we cannot sell a fraction of a ticket, we need to round up to the nearest whole number. Therefore, the break-even point is 23 tickets, which is the answer choice B.
So, the correct answer is:
B. 23 tickets