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?

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DizzyBerco DizzyBerco · Answer 1 · 2019-03-23T14:36:18+01:00

Answer:

40 Tickets

80 Tickets

Step-by-step explanation:

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

[tex]Break Even In Units = \dfrac{FixedCost}{SalesPricePerUnit-VariableCost}[/tex]

Our variables are:

Fixed Cost = $200

Sales Price = $10

Variable Cost = $5

Let's plug in our values into the formula.

[tex]Break Even In Units = \dfrac{200}{10-5}[/tex]

[tex]Break Even In Units = \dfrac{200}{5}[/tex]

[tex]Break Even In Units = 40[/tex]

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.