Jack 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, $475$ people went to The Youth Wing, $307$ people went to Social Issues, and $322$ went to Fiction and Literature. $\newline$ On Sunday, the library had $800$ total visitors. Based on what Jack had recorded on Saturday, about how many people should be expected to go to Social Issues? Round your answer to the nearest whole number. $\newline$ Answer:

View step-by-step help

Home

Math Problems

Grade 8

Make predictions

Full solution

Q. Jack 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,

475

people went to The Youth Wing,

307

people went to Social Issues, and

322

went to Fiction and Literature.

\newline

On Sunday, the library had

800

total visitors. Based on what Jack had recorded on Saturday, about how many people should be expected to go to Social Issues? 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 = $475 + 307 + 322$ $\newline$ Total visitors on Saturday = $1104$
Calculate Proportion for Social Issues: Calculate the proportion of visitors that went to Social Issues on Saturday. $\newline$ Proportion of visitors to Social Issues = $\frac{\text{Visitors to Social Issues}}{\text{Total visitors on Saturday}}$ $\newline$ Proportion of visitors to Social Issues = $\frac{307}{1104}$ $\newline$ Proportion of visitors to Social Issues $\approx 0.278$ (rounded to three decimal places)
Estimate Visitors to Social Issues on Sunday: Use the proportion to estimate the number of visitors to Social Issues on Sunday. $\newline$ Expected visitors to Social Issues on Sunday $=$ Proportion of visitors to Social Issues $\times$ Total visitors on Sunday $\newline$ Expected visitors to Social Issues on Sunday $\approx$ $0.278 \times 800$ $\newline$ Expected visitors to Social Issues on Sunday $\approx 222.4$
Round Expected Visitors: Round the expected number of visitors to Social Issues on Sunday to the nearest whole number. $\newline$ Rounded expected visitors to Social Issues on Sunday = $222$ (rounded down because $0.4$ is less than $0.5$ )