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(344) SPRING BREAK FLOR.
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Homersork: Chapter 7 Seo
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Homework: Chapter 7 Section 3
Score: 16.7/82 Answered: 6/26
Question 26
A survey asks 236 people “What beverage do you drink in the morning?”, and offers choices:
  • Coffee only
  • Tea only
  • Both tea and coffee
  • Neither tea nor coffee
Suppose 40 report tea only, 44 report coffee only, and 80 report both.
How many people drink tea in the morning?
How many people drink coffee in the morning?
How many people drink neither tea nor coffee?
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Ask by Wade Paul. in the United States
Mar 22,2025

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  • Tea drinkers: 120
  • Coffee drinkers: 124
  • Neither: 72

Solución

Let be the number of people who drink tea, and be the number of people who drink coffee.
  1. Tea drinkers:
    People who drink tea include those who drink tea only and those who drink both tea and coffee.
  2. Coffee drinkers:
    People who drink coffee include those who drink coffee only and those who drink both tea and coffee.
  3. People who drink neither:
    The total number of people surveyed is 236. The number who drink either beverage (or both) is the sum of those who drink tea only, coffee only, and both:
    Hence, the number who drink neither is:
The answers are:
  • Tea drinkers:
  • Coffee drinkers:
  • Neither:

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Beyond the Answer

Let’s break it down! To find out how many people drink tea in the morning, we simply take those who drink tea only (40) and those who drink both tea and coffee (80). That gives us a total of 120 tea drinkers: 40 + 80 = 120.
Now, for the coffee drinkers, we’ll add those who drink coffee only (44) and those who drink both (80). So, that’s 124 coffee drinkers: 44 + 80 = 124.
Finally, to find out how many drink neither, we take the total survey respondents (236) and subtract the number of people who drink either tea or coffee: . But wait! That means we’ve got a bit of an error since the total must make sense. So, double-check your numbers and fix any mix-ups! It’s a tricky puzzle!

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