Question

Natasha is planning a school celebration and wants to have live music and food for everyone who attends. She has found a band that will charge her $750 and a caterer who will provide snacks and drinks for $2.25 per person. If her goal is to keep the average cost per person between $2.75 and $3.25, how many people, p, must attend?

A)225

B)325

C)500

D)760

Answer 1

The number of people that need to attend the celebration will be :

`750< p <1500`

That will be 760 (option D)

Explanation:

Average cost per person =
`(750+2.25p)/(p)`

`(2.75)/(1) =(750+2.25p)/(p)`

`=> 2.75p=750+2.25p`

`=> 2.75p-2.25p=750`

`=> 0.5p=750`

p = 1500

`(3.25)/(1) =(750+2.25p)/(p)`

`=> 3.25p=750+2.25p`

`=> 3.25p-2.25p=750`

`=> 1p=750`

p = 750

So, The number of people that need to attend the celebration will be :

`750< p <1500`

That will be 760 (option D)