Question

You are hosting a convention for a charitable organization. You pay a rental fee of $28,500 for the convention center, plus you pay the caterer $13 for each person who attends the convention. Suppose you just want to break even.
How many must attend if you are to break even with a ticket price of $51?

Answer 1

You have to add the $51 to $13 and find the answer then divide the sum by $28,500

Answer 2

Answer:

750

Step-by-step explanation:

Given: You are hosting a convention for a charitable organization. You pay a rental fee of $\ 28500$ for the convention center, plus you pay the caterer $\ 13$ for each person who attends the convention.

To Find: How many must attend if you are to break even with a ticket price of $\ 51$.

Solution:

Rent of convention center $=\ 28500$

Amount paid to caterer for each person $=\ 13$

Cost of ticket of convention $=\ 51$

Amount earned from each per person $=\text{Cost of ticket}-\text{amount paid to caterer}$

$=51-13=\ 38$

To break even, the amount earned from all persons attending should be equal to rent

Let the number of persons be $=\text{x}$

Amount earned from all person $=\text{amount earned from one person}\times\text{number of persons}$

$=\ 38\text{x}$

Total number of persons,  $\text{x}=\frac{\text{Amount to be earned}}{\text{amount earned from one person}}$

                                          $=\frac{28500}{38}$

                                          $=750$

Therefore 750 persons must attend the convention to break even with a ticket price of $\ 51$.