Question

(30 POINTS)
A restaurant did a survey among 200 customers to find their food preferences. The customers were asked about their preferences for pasta or rice. Out of the total 60 people who liked pasta, 20 also liked rice. There were 80 people who liked rice.

Part A: Summarize the data by writing the values that the letters A to I in the table below represent.

Like pasta Do not like pasta Total
Like rice A B C
Do not like rice D E F
Total G H I


Part B: What percentage of the survey respondents did not like either pasta or rice?

Part C: Do the survey results reveal a greater dislike for rice or pasta? Justify your answer.

Answer 1

Answer:

Below

Step-by-step explanation:

Part A:

Like Pasta / Like Rice: A = 20

Like Rice / Do not like Pasta: B = 60

Total: C = 80

Do not like rice / Like Pasta: D = 40

Do not like rice & Pasta: E = 80

Total F = 120

Total G = 60

Total H = 140

Total I = 200

Part B: Using the rule of three:

If 200 represents 100%, then how much 80 represents?

(80 * 100) / 200 = 40%

40% did not like pasta nor rice.

Part C:

From the survey we know that:

30% like rice, and 20% dislike pasta. So yes, the survey reveals a greater dislike for rice.