Reeves Chang
03/19/2023 · Middle School
Question 5 A survey asks 204 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, 56 report coffee only, and 72 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? Question Help: Video Submit Question
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Step-by-step Solution
To solve the problem, we can use the information provided to find out how many people drink tea, coffee, and neither.
1. **Total number of people surveyed**: 204
2. **People who drink tea only**: 40
3. **People who drink coffee only**: 56
4. **People who drink both tea and coffee**: 72
Now, we can calculate the total number of people who drink tea and coffee.
### Total number of people who drink tea:
- People who drink tea only: 40
- People who drink both tea and coffee: 72
Total tea drinkers = Tea only + Both
Total tea drinkers = 40 + 72 = 112
### Total number of people who drink coffee:
- People who drink coffee only: 56
- People who drink both tea and coffee: 72
Total coffee drinkers = Coffee only + Both
Total coffee drinkers = 56 + 72 = 128
### Total number of people who drink neither tea nor coffee:
To find the number of people who drink neither, we can subtract the total number of tea and coffee drinkers from the total surveyed.
Total drinkers (tea or coffee) = Total tea drinkers + Total coffee drinkers - Both
Total drinkers = 112 + 128 - 72 = 168
Now, we can find the number of people who drink neither:
Total neither = Total surveyed - Total drinkers
Total neither = 204 - 168 = 36
### Summary of results:
- Number of people who drink tea in the morning: **112**
- Number of people who drink coffee in the morning: **128**
- Number of people who drink neither tea nor coffee: **36**
Quick Answer
- Number of people who drink tea in the morning: 112
- Number of people who drink coffee in the morning: 128
- Number of people who drink neither tea nor coffee: 36
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