Approximately 5 out of every 10 students at Kendra's college live on campus. The college has 5,000 students. How many of them live on campus? Set up a proportion.
5 / 10 : x / 5,000
x = ?
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To set up a proportion to solve this problem, we need to compare the number of students who live on campus with the total number of students.
Let's assign variables to the unknown quantities:
Let "x" represent the number of students who live on campus.
Let "n" represent the total number of students.
We are given two pieces of information in the problem:
1. Approximately 5 out of every 10 students live on campus, which can be simplified to a 1 to 2 ratio.
2. The college has 5,000 students.
Now, we can create the proportion:
Number of students who live on campus / Total number of students = Proportion
x / n = 1 / 2
To solve this proportion, we need to find the value of "x" when "n" is given.
From the problem, we know that the total number of students is 5,000, so "n" is 5,000.
Now, substitute the known values into the proportion and solve for "x":
x / 5,000 = 1 / 2
To cross multiply, we multiply the numerator of one fraction by the denominator of the other:
2x = 5,000 * 1
Simplify the right side of the equation:
2x = 5,000
Now, divide both sides of the equation by 2 to solve for "x":
x = 5,000/2
x = 2,500
Therefore, approximately 2,500 students live on campus at Kendra's college.