Solve the problem.
-A survey of 1,981 credit card users indicated that 911 had bought books online, 876 had bought musiconline, 439 had bought pet supplies online, 139 had bought both books and music, 200 had bought bothbooks and pet supplies, 160 had bought both music and pet supplies, and 93 had bought all three. Howmany credit card users did not buy any of the three? How many bought either books or pet supplies butnot music?
A)161; 944
B)254; 837
C)161; 837
D)161; 930

Question

Quizplus · Accepted Answer

To find the number of credit card users who did not buy any of the three, we need to subtract the total number of users who bought at least one item from the total number of credit card users:

Total = 1981
Bought books = 911
Bought music = 876
Bought pet supplies = 439
Bought both books and music = 139
Bought both books and pet supplies = 200
Bought both music and pet supplies = 160
Bought all three = 93

Total number of users who bought at least one item = 911 + 876 + 439 - 139 - 200 - 160 + 93 = 1820

Number of credit card users who did not buy any of the three = 1981 - 1820 = 161

To find the number of users who bought either books or pet supplies but not music, we need to subtract the number of users who bought all three from the number of users who bought both books and pet supplies:

Number of users who bought both books and pet supplies = 200
Number of users who bought all three = 93

Number of users who bought either books or pet supplies but not music = (911 - 139) + (439 - 200) - 93 = 880 - 93 = 787, but this is not one of the answer choices. However, we can find the number of users who bought all three items and subtract it from the number of users who bought either books or pet supplies:

Number of users who bought either books or pet supplies = (911 - 139) + (439 - 200) = 1011
Number of users who bought all three = 93

Number of users who bought either books or pet supplies but not music = 1011 - 93 = 944, which matches answer choice A.

Solve the Problem. -A Survey of 1,981 Credit Card Users Indicated That 911