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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.
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.
Answer:

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, 380380 people went to The Youth Wing, 320320 people went to Social Issues, and 396396 went to Fiction and Literature.\newlineOn Sunday, the library had 10001000 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.\newlineAnswer:

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, 380380 people went to The Youth Wing, 320320 people went to Social Issues, and 396396 went to Fiction and Literature.\newlineOn Sunday, the library had 10001000 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.\newlineAnswer:
  1. Calculate Total Visitors: Calculate the total number of visitors on Saturday by adding the number of people who went to each section.\newline380380 (Youth Wing) + 320320 (Social Issues) + 396396 (Fiction and Literature) = 10961096 total visitors.
  2. Determine Proportion: Determine the proportion of Saturday's visitors that went to Social Issues. 320 (Social Issues)1096 (Total Visitors)=approximately 0.292\frac{320 \text{ (Social Issues)}}{1096 \text{ (Total Visitors)}} = \text{approximately } 0.292.
  3. 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.\newline0.2920.292 (Proportion) ×\times 10001000 (Total Sunday Visitors) = 292292 expected visitors to Social Issues.
  4. Round Expected Number: Round the expected number of visitors to Social Issues to the nearest whole number. \newline292292 rounds to 292292 as it is already a whole number.