Question

a survey asks 220 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 68 report tea only, 60 report coffee only, and 36 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?

Explanation:

Step1: Calculate number of tea - drinkers

People who drink tea include those who drink tea only and those who drink both tea and coffee. So we add the number of people who drink tea only and the number of people who drink both.
$68 + 36=104$

Step2: Calculate number of coffee - drinkers

People who drink coffee include those who drink coffee only and those who drink both tea and coffee. So we add the number of people who drink coffee only and the number of people who drink both.
$60+36 = 96$

Step3: Calculate number of people who drink neither

First, find the total number of people who drink tea or coffee or both. That is the sum of people who drink tea only, coffee only, and both.
$68 + 60+36=164$
Then subtract this from the total number of people surveyed to find the number of people who drink neither.
$220 - 164=56$

Answer:

How many people drink tea in the morning? 104
How many people drink coffee in the morning? 96
How many people drink neither tea nor coffee? 56