Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 like touring bikes, 47 like mountain bikes, and 5 do not like either. Types of Bikes Likes Touring Bikes Does Not Like Touring Bikes Total Like Mountain Bikes A b 47 Does Not Like Mountain Bikes c 5 d Total 70 e 80 What are the correct values of A , b , c , d , and e ?
Answer
A
A is equal to 42 , b is equal to 5 , c is equal to 28 , d is equal to 33 , e is equal to 10
B
A is equal to 5 , b is equal to 42 , c is equal to 28 , d is equal to 10 , e is equal to 33
C
A is equal to 42 , b is equal to 28 , c is equal to 33 , d is equal to 5 , e is equal to 10
D
A is equal to 5 , b is equal to 10 , c is equal to 28 , d is equal to 33 , e is equal to 42
Explanation
Since 5 members like neither type, 80 − 5 = 75 like at least one type. The number who like both is 70 + 47 − 75 = 42, so A = 42. Then b = 47 − 42 = 5, c = 70 − 42 = 28, d = 28 + 5 = 33, and e = 5 + 5 = 10. These values match choice A.
AI-written and checked against the verified answer.