a survey of three marks of soda has
-of 100 people 83 drinks at least 1 of 3 marks
-54 just drink 1
-19 drinks 2 of 3
between the people the % that drink the 3
are
a 15%
b 12%
c 10%
d 24%
To solve this question, we need to use the information given in the survey. Let's break down the information step by step to find the percentage of people who drink all three marks of soda.
1. The total number of people surveyed is 100.
2. Out of these 100 people, 83 drink at least one of the three marks of soda. This means that 17 people don't drink any of the three marks of soda.
- Total people who drink at least one mark = 83
- Total people who don't drink any mark = 17
(Here, we subtract the number of people who drink at least one mark from the total number of people.)
3. From the information given, we can conclude that:
- 54 people drink only one of the three marks of soda.
- 19 people drink two of the three marks of soda.
- We want to find the percentage of people who drink all three marks of soda.
4. To find the number of people who drink all three marks of soda, we need to subtract the number of people who drink only one or two marks from the total number of people who drink at least one mark.
- Total people who drink at least one mark: 83
- People who drink one mark: 54
- People who drink two marks: 19
- People who drink all three marks: Total people who drink at least one mark - (People who drink one mark + People who drink two marks)
Calculating this, we get:
People who drink all three marks = 83 - (54 + 19) = 83 - 73 = 10
5. Finally, to find the percentage of people who drink all three marks, we divide the number of people who drink all three marks by the total number of people surveyed and multiply by 100.
- Percentage of people who drink all three marks = (People who drink all three marks / Total people surveyed) x 100
Now, calculating the percentage:
Percentage of people who drink all three marks = (10 / 100) x 100 = 10%
Therefore, the correct answer is option c) 10%.