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

750

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}*\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}}`

`=(28500)/(38)`

`=750`

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