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A college food court surveyed students to gather Information about the types of drinks they like. Here are the results.

• 686 students were surveyed in all
• 283 of the students drink soda
• 121 of the students drink coffee, but drink neither soda nor milk
• 52 of the students drink soda, but drink neither coffee nor milk
• 81 of the students drink milk, but drink neither soda nor coffee
• 39 of the students drink both soda and milk, but don't drink coffee
128 of the students drink both soda and coffee, but don't drink milk
• 609 of the students drink at least one of these three types of drinks (soda, coffee, milk).
Construct a Venn diagram illustrating these results. Then answer the question.
How many of the students drink coffee?
A) 165 students
B) 207 students
C) 199 students
D) 128 students

User Jake Luby
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1 Answer

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Final answer:

After constructing the Venn diagram with the provided survey data, it was found that 249 students drink coffee. However, this number does not match any of the multiple-choice answers, indicating a possible error in the question or provided options.

Step-by-step explanation:

To determine the number of students who drink coffee from the survey results given, we need to create a Venn diagram to visualize the data. According to the survey, 121 students drink coffee but neither soda nor milk, 128 students drink both soda and coffee but don't drink milk, and 39 students drink both soda and milk but don't drink coffee. There's no mention of students who drink all three or just milk and coffee, so we'll assume those numbers are zero for this question.

Since we're only interested in students who drink coffee, we'll focus on the coffee circle in our Venn diagram. The sum of students who drink coffee only and those who drink it with soda but not milk gives us the total number of coffee drinkers. 121 (coffee only) + 128 (soda and coffee) = 249.

Therefore, the answer to how many students drink coffee is 249 students, which isn't an option provided in the multiple-choice list. It seems there might have been either a mistake in the question options or in the information provided. If this number were correct, it would suggest that the data given in the question has been misinterpreted or is incomplete, potentially skewing the results.

User Mariusz Jamro
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7.9k points