There are 55 students in a class in which 35 study Biology, 25 study
Chemistry and 5 study neither Biology nor Chemistry.

To understand this scenario, let’s crunch some numbers! Out of the 55 students, if 5 study neither Biology nor Chemistry, that means 50 students are enrolled in at least one of the two subjects. This implies that we have 35 Biology students and 25 Chemistry students. But beware! There’s a possibility of some overlap. To find out how many students might be taking both subjects, we can use the formula for the union of sets!

Now, let’s break it down! To avoid common mistakes, remember that when calculating the total students studying at least one subject, you should subtract the number studying both subjects from the sum of each group. Engaging in a Venn diagram can be super helpful here! Visualizing the overlap makes it a lot easier to understand how many are studying both subjects.