Answer:
750
Step-by-step explanation:
Given: You are hosting a convention for a charitable organization. You pay a rental fee of [tex]\$28500[/tex] for the convention center, plus you pay the caterer [tex]\$13[/tex] for each person who attends the convention.
To Find: How many must attend if you are to break even with a ticket price of [tex]\$51[/tex].
Solution:
Rent of convention center [tex]=\$28500[/tex]
Amount paid to caterer for each person [tex]=\$13[/tex]
Cost of ticket of convention [tex]=\$51[/tex]
Amount earned from each per person [tex]=\text{Cost of ticket}-\text{amount paid to caterer}[/tex]
[tex]=51-13=\$38[/tex]
To break even, the amount earned from all persons attending should be equal to rent
Let the number of persons be [tex]=\text{x}[/tex]
Amount earned from all person [tex]=\text{amount earned from one person}\times\text{number of persons}[/tex]
[tex]=\$38\text{x}[/tex]
Total number of persons, [tex]\text{x}=\frac{\text{Amount to be earned}}{\text{amount earned from one person}}[/tex]
[tex]=\frac{28500}{38}[/tex]
[tex]=750[/tex]
Therefore 750 persons must attend the convention to break even with a ticket price of [tex]\$51[/tex].
