Question

To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obtained: ​ 132 students ate breakfast. ​ 182 students ate lunch. ​ 279 students ate dinner. ​ 68 students ate breakfast and lunch. ​ 112 students ate breakfast and dinner. ​ 91 students ate lunch and dinner. ​ 59 students ate all three meals. ​ How many of the students ate exactly two meals in the cafeteria?

Answer 1

To find the number of students who ate exactly two meals, subtract the number of students who ate all three meals from the total number of students who ate breakfast, lunch, and dinner.

Step-by-step explanation:

To find the number of students who ate exactly two meals, we need to subtract the students who ate all three meals from the total number of students who ate breakfast, lunch, and dinner.

First, we find the total number of students who ate all three meals:

Total students who ate all three meals = 59

Next, we find the total number of students who ate breakfast, lunch, and dinner (including those who ate all three meals):

Total students who ate all three meals + Total students who ate exactly two meals = Students who ate breakfast + Students who ate lunch + Students who ate dinner

Therefore, the formula becomes:

59 + Total students who ate exactly two meals = 132 + 182 + 279

Finally, we can solve for the total students who ate exactly two meals:

Total students who ate exactly two meals = 593 - 59 = 534