Audrey 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, $380$ people went to The Youth Wing, $320$ people went to Social Issues, and $396$ went to Fiction and Literature. $\newline$ On Sunday, the library had $1000$ total visitors. Based on what Audrey 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 6

Divide fractions and mixed numbers: word problems

Full solution

Q. Audrey 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,

380

people went to The Youth Wing,

320

people went to Social Issues, and

396

went to Fiction and Literature.

\newline

On Sunday, the library had

1000

total visitors. Based on what Audrey 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: Calculate the total number of visitors on Saturday by adding the number of people who went to each section. $\newline$ $380$ (Youth Wing) + $320$ (Social Issues) + $396$ (Fiction and Literature) = $1096$ total visitors.
Determine Proportion: Determine the proportion of Saturday's visitors that went to Social Issues. $\frac{320 \text{ (Social Issues)}}{1096 \text{ (Total Visitors)}} = \text{approximately } 0.292$ .
Apply Proportion to Estimate: Apply the proportion of visitors that went to Social Issues on Saturday to the total number of visitors on Sunday to estimate the expected number of visitors to Social Issues. $\newline$ $0.292$ (Proportion) $\times$ $1000$ (Total Sunday Visitors) = $292$ expected visitors to Social Issues.
Round Expected Number: Round the expected number of visitors to Social Issues to the nearest whole number. $\newline$ $292$ rounds to $292$ as it is already a whole number.