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signment not submitted2 pointsIn a group of 50 people, 17 like cold drinks and 40 like hot drinks and each person likes at least one of the two drinks. How many like both coffee and tea? a. 9 b. 5 c. 3 d. 8

Question

signment not submitted2 pointsIn a group of 50 people, 17 like cold drinks and 40 like hot drinks and each person likes at least one of the two drinks. How many like both coffee and tea? a. 9 b. 5 c. 3 d. 8

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Solution

The question seems to be a bit confusing as it mentions cold drinks and hot drinks initially and then asks about coffee and tea. However, assuming that 'cold drinks' refers to 'coffee' and 'hot drinks' refers to 'tea', we can solve this problem using the principle of inclusion and exclusion.

Here are the steps:

  1. We know that there are 50 people in total.
  2. Out of these, 17 people like coffee (cold drinks) and 40 people like tea (hot drinks).
  3. Adding these two groups together gives us 17 + 40 = 57.
  4. However, this number is greater than the total number of people, which means that some people must like both coffee and tea.
  5. To find out how many people like both, we subtract the total number of people from our previous result: 57 - 50 = 7.

So, 7 people like both coffee and tea. However, this option is not available in the choices given. There might be a mistake in the question or the options provided.

This problem has been solved

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