Question

Use a Venn diagram to answer the question.

3) At East Zone University (EZU) there are 683 students taking College Algebra or Calculus. 281 are taking
College Algebra, 456 are taking Calculus, and 55 are taking both College Algebra and Calculus. How many are
taking Algebra but not Calculus?

Answer 1

Answer: 226 students are taking Algebra but not Calculus.

Explanation:

We are given that there are:

• 682 students taking College Algebra or Calculus (total amount)
• 281 students are taking Algebra
• 456 students are taking Calculus
• 55 students are taking both Algebra and Calculus

The question is asking:

• How many students are taking Algebra but not Calculus?

Please see attached image for the Venn diagram.

(to make a Venn diagram draw two circles that overlap, where the non-overlapping parts are the differences, and the overlapping part is the similarity)

We see that of the 281 students taking algebra, 55 of them are also taking calculus. We are asked to find how many students are taking algebra and not calculus. To find that, we must subtract the amount of students who are taking both algebra and calculus, from the amount of students taking algebra:

281 (students taking algebra) - 55 (students taking both algebra and calculus).

We get that 281 - 55 = 226

So there are 226 students who are taking Algebra and not Calculus.