Question

Wholesome Pizza surveyed a random sample of 404040 Trinity Food Festival attendees about their favorite type of pizza. Of the attendees surveyed, 212121 said that sausage pizza was their favorite type of pizza. There are 160016001600 Trinity Food Festival attendees. Based on the data, what is the most reasonable estimate for the number of Trinity Food Festival attendees whose favorite type of pizza is sausage pizza?

Answer 1

Given data:

Attendees surveyed = 40

Sausage pizza likers = 21

Total attendees = 1600

To find:

The most reasonable estimate for the number of Trinity Food Festival attendees whose favorite type of pizza is sausage pizza

Step-by-step explanation:

Given, 21 of 40 attendees consider sausage pizza as their favorite type of pizza

Thus the fraction in favor of sausage pizza

$=\dfrac{\textsf{sausage pizza likers}}{\textsf{attendees surveyed}}$

$=\dfrac{21}{40}$

There are 1600 attendees in the festival.

Thus the number of sausage pizza likers

$\mathsf{=fraction\:in\:favor\:of\:sausage\:pizza\times total\:attendees}$

$=\dfrac{21}{40}\times 1600$

$=840$

Answer:

The most reasonable estimate for the number of Trinity Food Festival attendees whose favorite type of pizza is sausage pizza is 840.