Venn Diagram

Question

Of the 150 juniors in a high school, 97 have taken the ACT. 54 of those who took the ACT were boys, and 20 of those who didn't take the ACT were boys. How many junior girls did not take the ACT? You may wish to make a table or draw a Venn Diagram

Answer 1

Your universe for the Venn diagram consists of the 150 juniors.  You can draw a line to split your Venn diagram into 2 parts, the 97 juniors who have taken the ACT and the remaining 53 who have not.  You can now draw a line to split the 53 juniors who have not taken the ACT into 20 boys and 33 girls.  This last split will show you that 33 junior girls did not take the ACT.