Alyssa 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, $401$ people went to The Youth Wing, $376$ people went to Social Issues, and $320$ went to Fiction and Literature. $\newline$ On Sunday, the library had $500$ total visitors. Based on what Alyssa had recorded on Saturday, about how many people should be expected to go to Fiction and Literature? Round your answer to the nearest whole number. $\newline$ Answer:

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Q. Alyssa 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,

401

people went to The Youth Wing,

376

people went to Social Issues, and

320

went to Fiction and Literature.

\newline

On Sunday, the library had

500

total visitors. Based on what Alyssa had recorded on Saturday, about how many people should be expected to go to Fiction and Literature? Round your answer to the nearest whole number.

\newline

Answer:

Calculate Total Visitors on Saturday: Calculate the total number of visitors on Saturday. $\newline$ Total visitors on Saturday = Visitors to The Youth Wing + Visitors to Social Issues + Visitors to Fiction and Literature $\newline$ Total visitors on Saturday = $401 + 376 + 320$ $\newline$ Total visitors on Saturday = $1097$
Calculate Proportion for Fiction: Calculate the proportion of visitors who went to Fiction and Literature on Saturday. $\newline$ Proportion for Fiction and Literature $= \frac{\text{Visitors to Fiction and Literature}}{\text{Total visitors on Saturday}}$ $\newline$ Proportion for Fiction and Literature $= \frac{320}{1097}$ $\newline$ Proportion for Fiction and Literature $\approx 0.2917$ (rounded to four decimal places)
Estimate Visitors to Fiction on Sunday: Use the proportion to estimate the number of visitors to Fiction and Literature on Sunday. $\newline$ Expected visitors to Fiction and Literature on Sunday = Proportion for Fiction and Literature $\times$ Total visitors on Sunday $\newline$ Expected visitors to Fiction and Literature on Sunday $\approx 0.2917 \times 500$ $\newline$ Expected visitors to Fiction and Literature on Sunday $\approx 145.85$
Round Expected Visitors: Round the expected number of visitors to the nearest whole number. $\newline$ Rounded expected visitors to Fiction and Literature on Sunday = $146$ (rounded from $145.85$ )