Question

ninety - seven people who grew up in either city a or city b were surveyed to determine whether they preferred country music or blues (both and neither were not acceptable responses). of those who grew up in city b, 41 preferred blues and 22 preferred country music. of those who grew up in city a 18 preferred country. answer parts (a) through (d) below.
a. complete the two - way table summarizing the reviews.

	country music	blues
city b	22	41

(type whole numbers.)
b. make a venn diagram from the table in part (a). choose the correct answer below.
c. how many city a residents preferred country?
(type a whole number.)
d. how many respondents preferred country?
(type a whole number.)

Explanation:

Step1: Find number of City A residents who prefer blues

Total people surveyed is 97. People from City B are \(41 + 22=63\). So people from City A are \(97 - 63 = 34\). Since 18 from City A prefer country, then number of City A residents who prefer blues is \(34 - 18=16\).

Step2: Complete two - way table

	Country Music	Blues
City B	22	41

Step3: Analyze Venn - diagram

The correct Venn - diagram should have 22 in the intersection of City B and Country Music, 41 in City B and non - Country Music (Blues), 18 in City A and Country Music and 16 in City A and non - Country Music (Blues). So the correct Venn - diagram is A.

Step4: Answer part c

Number of City A residents who preferred country is 18.

Step5: Answer part d

Number of respondents who preferred country is \(18 + 22=40\).

Answer:

a.

	Country Music	Blues
City B	22	41

b. A.
c. 18
d. 40