Question

98 Points! MATH SOLVING SYSTEMS OF LINEAR EQUATIONS

Expenses For A Class Party Are $200 For Music And $5 Per Person For Food. The Class Plans To Sell Tickets For $10 Each. How many Tickets Must Be Sold In Order For The Class To Break Even? How many Tickets Must Be Sold For The Class To Earn A $200 Profit?

Answer 1

40 Tickets

80 Tickets

Explanation:

To find how many tickets it will take to break even, we use the formula:

`Break Even In Units = (FixedCost)/(SalesPricePerUnit-VariableCost)`

Our variables are:

Fixed Cost = $200

Sales Price = $10

Variable Cost = $5

Let's plug in our values into the formula.

`Break Even In Units = (200)/(10-5)`

`Break Even In Units = (200)/(5)`

`Break Even In Units = 40`

So the class needs to sell a total of 40 Tickets to break even.

Since we know that it takes 40 tickets to break even a $200 Fixed cost. To make a profit of $200, we simply multiply the number of tickets sold by 2.

Number of tickets for $200 profit = 40 x 2

Number of tickets for $200 profit = 80 Tickets.

So the class needs to sell 80 Tickets to make a $200 Profit.