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?

1 answer

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.