Records show that 12% of all college students are foreign students who also smoke. It is also known that 80% of all foreign college students smoke. What percent of the students at this university are foreign?
Let's call the percent of students at this university who are foreign x%.
From the problem, we know that 12% of all college students are foreign students who smoke, so we can set up the equation:
0.12x = 0.80(0.01x)
First, let's convert the percentages to decimals:
0.12x = 0.008x
Now, we can divide by 0.008:
0.12x / 0.008 = x
Therefore, x = 0.12 / 0.008 = 15.
So, 15% of the students at this university are foreign.
Let's assume that "x" represents the percentage of students at the university who are foreign.
According to the given information, 12% of all college students are foreign students who smoke, and 80% of all foreign college students smoke.
We can set up the following equation to represent the given information:
0.12 = x * 0.80
To solve for x, we need to isolate it. Dividing both sides of the equation by 0.80, we get:
0.12 / 0.80 = x
0.15 = x
Therefore, 15% of the students at this university are foreign.
To determine the percentage of students at the university who are foreign, we need to use the information given.
Let's assume the total number of college students at this university is represented by "X".
It is stated that 12% of all college students are foreign students who smoke. So, we can set up the equation:
0.12X = Number of foreign students who smoke
It is also known that 80% of all foreign college students smoke. So, out of the total foreign students, we can determine the number of foreign students who smoke as:
0.8 * Number of foreign students = Number of foreign students who smoke
To find the percentage of students who are foreign, we need to divide the number of foreign students by the total number of students and multiply by 100:
(Number of foreign students / X) * 100 = Percentage of students who are foreign
Now, we can solve these equations to find the percentage of students who are foreign.
Let's substitute the value of "Number of foreign students who smoke" from the first equation into the second equation:
0.8 * (0.12X) = Number of foreign students who smoke
Simplifying the equation:
0.096X = Number of foreign students who smoke
Next, let's solve for the number of foreign students by dividing both sides of the equation by 0.096:
Number of foreign students = (0.096X) / 0.096
Number of foreign students = X
Now, let's substitute this value of "Number of foreign students" into the equation for the percentage of students who are foreign:
( X / X ) * 100 = Percentage of students who are foreign
Simplifying the equation:
100% = Percentage of students who are foreign
Therefore, 100% of the students at this university are foreign.