Question $\newline$ Watch Video $\newline$ Show Examples $\newline$ Oliver 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, $385$ people went to The Youth Wing, $355$ people went to Social Issues, and $494$ went to Fiction and Literature. $\newline$ On Sunday, the library had $1400$ total visitors. Based on what Oliver 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 Attempt $2$ out of $2$

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Q. Question

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Watch Video

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Show Examples

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Oliver 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,

385

people went to The Youth Wing,

355

people went to Social Issues, and

494

went to Fiction and Literature.

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On Sunday, the library had

1400

total visitors. Based on what Oliver 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.

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Answer Attempt

2

out of

2

Find Total Visitors: First, we need to find the total number of visitors Oliver recorded on Saturday to understand the distribution of visitors across the different sections.
Calculate Proportion: The total number of visitors on Saturday is the sum of visitors to The Youth Wing, Social Issues, and Fiction and Literature. $\newline$ Total visitors on Saturday = $385$ (Youth Wing) + $355$ (Social Issues) + $494$ (Fiction and Literature) $\newline$ Total visitors on Saturday = $1234$
Estimate Expected Visitors: Next, we calculate the proportion of visitors that went to Fiction and Literature on Saturday. $\newline$ Proportion for Fiction and Literature = Number of visitors to Fiction and Literature / Total number of visitors on Saturday $\newline$ Proportion for Fiction and Literature = $\frac{494}{1234}$
Perform Calculation: Now, we perform the actual calculation to find the proportion. Proportion for Fiction and Literature = $\frac{494}{1234} \approx 0.4003$
Calculate Expected Visitors: Using the proportion of visitors that went to Fiction and Literature on Saturday, we can estimate the expected number of visitors to that section on Sunday when there were $1400$ total visitors. $\newline$ 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 = $0.4003 \times 1400$
Round to Nearest Whole: We calculate the expected number of visitors to Fiction and Literature on Sunday. $\newline$ Expected visitors to Fiction and Literature on Sunday $\approx 560.42$ $\newline$ Since we cannot have a fraction of a visitor, we round to the nearest whole number. $\newline$ Expected visitors to Fiction and Literature on Sunday $\approx 560$ (rounded)