To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obtained. 130 students ate breakfast. 177 students ate lunch. 276 students ate dinner. 65 students ate breakfast and lunch, 115 students ate breakfast and dinner. 86 students ate lunch and dinner. 54 students ate all three meals. How many students ate (a) At least one meal in the cafeteria? students (b) Exactly one meal in the cafeteria? students (c) Only dinner in the cafeteria? students (d) Exactly two meals in the cafeteria? students

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obtained.

- 130 students ate breakfast.
- 177 students ate lunch.
- 276 students ate dinner.
- 65 students ate breakfast and lunch.
- 115 students ate breakfast and dinner.
- 86 students ate lunch and dinner.
- 54 students ate all three meals.

How many students ate:

(a) At least one meal in the cafeteria? 
__________ students

(b) Exactly one meal in the cafeteria?
__________ students

(c) Only dinner in the cafeteria?
__________ students

(d) Exactly two meals in the cafeteria?
__________ students
Transcribed Image Text:To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obtained. - 130 students ate breakfast. - 177 students ate lunch. - 276 students ate dinner. - 65 students ate breakfast and lunch. - 115 students ate breakfast and dinner. - 86 students ate lunch and dinner. - 54 students ate all three meals. How many students ate: (a) At least one meal in the cafeteria? __________ students (b) Exactly one meal in the cafeteria? __________ students (c) Only dinner in the cafeteria? __________ students (d) Exactly two meals in the cafeteria? __________ students
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