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Oliver volunteers on the weekend at the Central Library. JAs 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.
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.
Answer Attempt 2 out of 2

Question\newlineWatch Video\newlineShow Examples\newlineOliver volunteers on the weekend at the Central Library. JAs a school project, he decides to record how many people visit the library, and where they go. On Saturday, 385385 people went to The Youth Wing, 355355 people went to Social Issues, and 494494 went to Fiction and Literature.\newlineOn Sunday, the library had 14001400 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.\newlineAnswer Attempt 22 out of 22

Full solution

Q. Question\newlineWatch Video\newlineShow Examples\newlineOliver volunteers on the weekend at the Central Library. JAs a school project, he decides to record how many people visit the library, and where they go. On Saturday, 385385 people went to The Youth Wing, 355355 people went to Social Issues, and 494494 went to Fiction and Literature.\newlineOn Sunday, the library had 14001400 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.\newlineAnswer Attempt 22 out of 22
  1. Rephrase the Question: First, let's rephrase the "Based on the number of visitors to different sections of the library on Saturday, how many people should be expected to go to Fiction and Literature on Sunday?"
  2. Calculate Total Visitors on Saturday: Next, we need to find the total number of visitors on Saturday by adding the number of people who went to each section:\newlineTotal visitors on Saturday = People who went to The Youth Wing + People who went to Social Issues + People who went to Fiction and Literature\newlineTotal visitors on Saturday = 385+355+494385 + 355 + 494
  3. Find Proportion of Fiction and Literature Visitors: Now, let's perform the calculation to find the total number of visitors on Saturday:\newlineTotal visitors on Saturday = 385+355+494=1234385 + 355 + 494 = 1234
  4. Calculate Expected Visitors on Sunday: We need to determine the proportion of visitors who went to Fiction and Literature on Saturday. To do this, we divide the number of visitors to Fiction and Literature by the total number of visitors on Saturday:\newlineProportion of Fiction and Literature visitors = Number of Fiction and Literature visitors / Total visitors on Saturday\newlineProportion of Fiction and Literature visitors = 4941234\frac{494}{1234}
  5. Calculate Expected Visitors on Sunday: We need to determine the proportion of visitors who went to Fiction and Literature on Saturday. To do this, we divide the number of visitors to Fiction and Literature by the total number of visitors on Saturday:\newlineProportion of Fiction and Literature visitors = Number of Fiction and Literature visitors / Total visitors on Saturday\newlineProportion of Fiction and Literature visitors = 4941234\frac{494}{1234}Let's calculate the proportion of Fiction and Literature visitors:\newlineProportion of Fiction and Literature visitors = 49412340.4003\frac{494}{1234} \approx 0.4003
  6. Calculate Expected Visitors on Sunday: We need to determine the proportion of visitors who went to Fiction and Literature on Saturday. To do this, we divide the number of visitors to Fiction and Literature by the total number of visitors on Saturday:\newlineProportion of Fiction and Literature visitors = Number of Fiction and Literature visitors / Total visitors on Saturday\newlineProportion of Fiction and Literature visitors = 4941234\frac{494}{1234}Let's calculate the proportion of Fiction and Literature visitors:\newlineProportion of Fiction and Literature visitors = 49412340.4003\frac{494}{1234} \approx 0.4003Now, we will use the proportion of Fiction and Literature visitors from Saturday to estimate the number of visitors to that section on Sunday. We multiply the total number of visitors on Sunday by the proportion of Fiction and Literature visitors:\newlineExpected number of Fiction and Literature visitors on Sunday = Total visitors on Sunday ×\times Proportion of Fiction and Literature visitors\newlineExpected number of Fiction and Literature visitors on Sunday = 1400×0.40031400 \times 0.4003
  7. Calculate Expected Visitors on Sunday: We need to determine the proportion of visitors who went to Fiction and Literature on Saturday. To do this, we divide the number of visitors to Fiction and Literature by the total number of visitors on Saturday:\newlineProportion of Fiction and Literature visitors = Number of Fiction and Literature visitors / Total visitors on Saturday\newlineProportion of Fiction and Literature visitors = 4941234\frac{494}{1234}Let's calculate the proportion of Fiction and Literature visitors:\newlineProportion of Fiction and Literature visitors = 49412340.4003\frac{494}{1234} \approx 0.4003Now, we will use the proportion of Fiction and Literature visitors from Saturday to estimate the number of visitors to that section on Sunday. We multiply the total number of visitors on Sunday by the proportion of Fiction and Literature visitors:\newlineExpected number of Fiction and Literature visitors on Sunday = Total visitors on Sunday ×\times Proportion of Fiction and Literature visitors\newlineExpected number of Fiction and Literature visitors on Sunday = 1400×0.40031400 \times 0.4003We perform the calculation to find the expected number of Fiction and Literature visitors on Sunday:\newlineExpected number of Fiction and Literature visitors on Sunday = 1400×0.4003560.421400 \times 0.4003 \approx 560.42
  8. Calculate Expected Visitors on Sunday: We need to determine the proportion of visitors who went to Fiction and Literature on Saturday. To do this, we divide the number of visitors to Fiction and Literature by the total number of visitors on Saturday:\newlineProportion of Fiction and Literature visitors = Number of Fiction and Literature visitors / Total visitors on Saturday\newlineProportion of Fiction and Literature visitors = 4941234\frac{494}{1234}Let's calculate the proportion of Fiction and Literature visitors:\newlineProportion of Fiction and Literature visitors = 49412340.4003\frac{494}{1234} \approx 0.4003Now, we will use the proportion of Fiction and Literature visitors from Saturday to estimate the number of visitors to that section on Sunday. We multiply the total number of visitors on Sunday by the proportion of Fiction and Literature visitors:\newlineExpected number of Fiction and Literature visitors on Sunday = Total visitors on Sunday ×\times Proportion of Fiction and Literature visitors\newlineExpected number of Fiction and Literature visitors on Sunday = 1400×0.40031400 \times 0.4003We perform the calculation to find the expected number of Fiction and Literature visitors on Sunday:\newlineExpected number of Fiction and Literature visitors on Sunday = 1400×0.4003560.421400 \times 0.4003 \approx 560.42Since we cannot have a fraction of a person, we need to round the expected number of visitors to the nearest whole number:\newlineExpected number of Fiction and Literature visitors on Sunday 560\approx 560 (rounded to the nearest whole number)

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