1. **State the problem:** We have a survey of 180 people about their morning beverage choices: coffee only, tea only, both tea and coffee, or neither.
2. **Given data:**
- Tea only = 64
- Coffee only = 56
- Both tea and coffee = 24
- Total people surveyed = 180
3. **Find:**
- Number of people who drink tea in the morning
- Number of people who drink coffee in the morning
- Number of people who drink neither tea nor coffee
4. **Formula and rules:**
- People who drink tea = Tea only + Both
- People who drink coffee = Coffee only + Both
- People who drink neither = Total - (Tea only + Coffee only + Both)
5. **Calculate number of people who drink tea:**
$$\text{Tea} = 64 + 24 = 88$$
6. **Calculate number of people who drink coffee:**
$$\text{Coffee} = 56 + 24 = 80$$
7. **Calculate number of people who drink neither:**
$$\text{Neither} = 180 - (64 + 56 + 24) = 180 - 144 = 36$$
**Final answers:**
- People who drink tea in the morning: $88$
- People who drink coffee in the morning: $80$
- People who drink neither tea nor coffee: $36$
Tea Coffee Survey Ea412B
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