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Wholesome Pizza surveyed a random sample of 40 Trinity Food Festival attendees about their favorite type of pizza. Of the attendees surveyed, 21 said that sausage pizza was their favorite type of pizza. There are 1600 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?
Choose 1 answer:
(A) 40
(B) 525
(C) 760
(D) 840

Wholesome Pizza surveyed a random sample of $40$ Trinity Food Festival attendees about their favorite type of pizza. Of the attendees surveyed, $21$ said that sausage pizza was their favorite type of pizza. There are $1600$ Trinity Food Festival attendees. $\newline$ 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? $\newline$ Choose $1$ answer: $\newline$ (A) $40$ $\newline$ (B) $525$ $\newline$ (C) $760$ $\newline$ (D) $840$

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Solve a system of equations using any method: word problems

Full solution

Q. Wholesome Pizza surveyed a random sample of

40

Trinity Food Festival attendees about their favorite type of pizza. Of the attendees surveyed,

21

said that sausage pizza was their favorite type of pizza. There are

1600

Trinity Food Festival attendees.

\newline

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?

\newline

Choose

1

answer:

\newline

(A)

40

\newline

(B)

525

\newline

(C)

760

\newline

(D)

840

Calculate Proportion: Out of $40$ people surveyed, $21$ prefer sausage pizza. To find the proportion, divide $21$ by $40$ . $\newline$ Proportion = $\frac{21}{40}$
Apply Proportion to Total: Now, apply this proportion to the total number of attendees, which is $1600$ . $\newline$ Estimated number $=$ Proportion $\times$ Total attendees $\newline$ Estimated number $= \left(\frac{21}{40}\right) \times 1600$
Perform Calculation: Perform the calculation to get the estimate. $\newline$ Estimated number = $(\frac{21}{40}) \times 1600 = 0.525 \times 1600$
Finish Calculation: Finish the calculation to find the estimated number. $\newline$ Estimated number = $0.525 \times 1600 = 840$

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