Question

There are a total of $784$ juniors and seniors at a particular High School. Out of the total, $319$ are currently enrolled in one or more Advanced Placement (AP) courses. Of these AP students, $75$ are enrolled in AP Biology, $58$ are enrolled in AP U.S. History and $22$ are enrolled in both AP Biology and AP U.S. History. Calculate what is the approximate percent of the juniors and seniors that are enrolled in AP courses other than Biology and U.S. History.

• A. $17\%$
• B. $27\%$
• C. $37\%$
• D. $47\%$

Answer 1

The correct option is B $27\%$

We know that $319$ students are enrolled in at least one AP course and of those, $75+58=133$ are enrolled in Biology and U.S. History.

However, since $22$ students are enrolled in both of those courses, we need to subtract $22$ from $133$ (so as not to double-count the students taking both courses).

That leaves us with $133-22=111$ total students who are taking AP Biology and AP U.S. History.

Of the $319$ students taking AP courses, that means there are $319-111=208$ students taking AP courses other than Biology and U.S. History.

We know that there are $784$ juniors and seniors total.

So, $\frac{208}{784}\times 100=26.5$ $\%$, or approximately $27\%$ of all juniors and seniors, which is (B).