Tyshawn volunteers on the weekend at the Central Library. As a school project, he decides to record how many people visit the library, and where they go. On Saturday, $454$ people went to The Youth Wing, $331$ people went to Social Issues, and $444$ went to Fiction and Literature. $\newline$ On Sunday, the library had $600$ total visitors. Based on what Tyshawn had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number. $\newline$ Answer:

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Q. Tyshawn volunteers on the weekend at the Central Library. As a school project, he decides to record how many people visit the library, and where they go. On Saturday,

454

people went to The Youth Wing,

331

people went to Social Issues, and

444

went to Fiction and Literature.

\newline

On Sunday, the library had

600

total visitors. Based on what Tyshawn had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number.

\newline

Answer:

Calculate total visitors on Saturday: Calculate the total number of visitors on Saturday by adding the number of people who went to each section. $\newline$ $454$ (Youth Wing) + $331$ (Social Issues) + $444$ (Fiction and Literature) = $1229$ total visitors.
Determine proportion of Youth Wing visitors: Determine the proportion of Saturday's visitors that went to The Youth Wing by dividing the number of visitors to The Youth Wing by the total number of visitors on Saturday. $454$ (Youth Wing visitors) / $1229$ (Total visitors) $\approx 0.3694$ .
Apply proportion to estimate visitors: Apply the proportion of Youth Wing visitors to the total number of visitors on Sunday to estimate the expected number of visitors to The Youth Wing. $\newline$ $0.3694$ (proportion) $\times$ $600$ (Sunday's total visitors) $\approx$ $221.64$ .
Round expected number of visitors: Round the expected number of Youth Wing visitors on Sunday to the nearest whole number. $\newline$ Approximately $222$ people should be expected to go to The Youth Wing on Sunday.