SAT Math Multiple Choice Practice Question 187: Answer and Explanation
11. Of 150 students in the 11th grade, 82 study Spanish, 75 study French, and 15 study both Spanish and French. How many students study neither language?
Correct Answer: B
B. Set up a Venn diagram to solve this problem.
Now you can see that there must be 82 - 15 = 67 students who take only Spanish, and - 75 - 15 = 60 students who take only French. Now you can add up the students in each -section: 67 + 15 + 60 = 142 students studying Spanish, French, or both. Because there are 150 students in the 11th grade and you just determined that 142 of them are studying French and/or Spanish, that leaves 150 - 142 = 8 students who are not taking either class.