Question

mav volunteers on the weekend at the central library. as a school project, she decides to record how many people visit the library, and where they go. on saturday, 384 people went to the youth wing, 302 people went to social issues, and 493 went to fiction and literature. on sunday, the library had 1500 total visitors. based on what mav had recorded on saturday, about how many of those 1500 people should be expected to go to the youth wing? round your answer to the nearest whole number.

Explanation:

Step1: Calculate the number of people in Youth Wing on Saturday

First, find the total number of people on Saturday: \(384 + 302+493=1179\).
The number of people in Youth Wing on Saturday is \(384\).

Step2: Set up a proportion

Let \(x\) be the number of people in Youth Wing on Sunday.
The proportion is \(\frac{384}{1179}=\frac{x}{1500}\).
Cross - multiply: \(1179x = 384\times1500\).
So, \(x=\frac{384\times1500}{1179}\).

Step3: Calculate the value of \(x\)

\(384\times1500 = 576000\).
\(x=\frac{576000}{1179}\approx488.55\).
Rounding to the nearest whole number, \(x\approx489\).

Answer:

\(489\)