Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

John 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, 468 people went to The Youth Wing, 324 people went to Social Issues, and 356 went to Fiction and Literature.
On Sunday, the library had 1100 total visitors. Based on what John 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:

John 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, 468468 people went to The Youth Wing, 324324 people went to Social Issues, and 356356 went to Fiction and Literature.\newlineOn Sunday, the library had 11001100 total visitors. Based on what John 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. John 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, 468468 people went to The Youth Wing, 324324 people went to Social Issues, and 356356 went to Fiction and Literature.\newlineOn Sunday, the library had 11001100 total visitors. Based on what John 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 on Saturday: Calculate the total number of visitors on Saturday. Add the number of people who went to The Youth Wing, Social Issues, and Fiction and Literature. 468468 (Youth Wing) + 324324 (Social Issues) + 356356 (Fiction and Literature) = 11481148 total visitors on Saturday.
  2. Calculate Proportion of Visitors: Calculate the proportion of visitors that went to Social Issues on Saturday.\newlineDivide the number of visitors to Social Issues by the total number of visitors on Saturday.\newline324324 (Social Issues) / 11481148 (Total Visitors) = 0.28220.2822 (rounded to four decimal places).
  3. Estimate Visitors on Sunday: Estimate the number of visitors to Social Issues on Sunday. Multiply the proportion of visitors to Social Issues by the total number of visitors on Sunday. 0.2822×11000.2822 \times 1100 (Total Visitors on Sunday) = 310.42310.42.
  4. Round Estimated Visitors: Round the estimated number of visitors to Social Issues on Sunday to the nearest whole number. 310.42310.42 rounds to 310310.

More problems from Estimate population size using proportions