Alejandro 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, 463 people went to The Youth Wing, 474 people went to Social Issues, and 335 went to Fiction and Literature. On Sunday, the library had 1100 total visitors. Based on what Alejandro had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number.
1100 * [463 / (463 + 474 + 335)] = ?
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To determine the approximate number of people expected to go to The Youth Wing on Sunday, we will use the information recorded by Alejandro on Saturday.
According to Alejandro's records, on Saturday 463 people went to The Youth Wing.
To estimate the number of people that should be expected to go to The Youth Wing on Sunday, we can assume that the proportion of people visiting each section remains the same.
So, we can set up a proportion using the number of people going to The Youth Wing on Saturday (463) and the total number of visitors on Sunday (1100):
463/Total visitors on Saturday = X/Total visitors on Sunday
Here, X represents the approximate number of people expected to go to The Youth Wing on Sunday.
Simplifying the proportion:
463/Total visitors on Saturday = X/1100
To solve for X, we can cross-multiply and solve for X:
463 * 1100 = Total visitors on Saturday * X
509,300 = Total visitors on Saturday * X
Divide both sides by Total visitors on Saturday to isolate X:
X = 509,300 / Total visitors on Saturday
Given that Total visitors on Saturday = 463, we can substitute this value into the equation and solve for X:
X = 509,300 / 463
By evaluating this expression, we get:
X ≈ 1,100. As we are rounding to the nearest whole number, the approximate number of people expected to go to The Youth Wing on Sunday based on Alejandro's records from Saturday is 1,100.