Question

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.

What are the correct values of a, b, c, d, and e?

a = 42, b = 28, c = 33, d = 5, e = 10
a = 42, b = 5, c = 28, d = 33, e = 10
a = 5, b = 42, c = 28, d = 10, e = 33
a = 5, b = 10, c = 28, d = 33, e = 42

Answer 1

Explanation:

a = 42, b = 5, c = 28, d = 33, e = 10

Answer 2

Option B. a = 42, b = 5, c = 28, d = 33, e = 10.

Explanation:

From the table it is given that total of Bikers who like touring bike and who do not love touring bike are 80 (last row).

So 70 + e = 80

e = 80 - 70 = 10

Now Bikers who don't like touring bikes are 10 (column 2)

Bikers who do not like touring bikes = Number of bikers who love mountain bikes + Number of bikers who do not love mountain bikes

10 = b + 5

b = 5

In first row

Bikers who like mountain bikes = number of bikers who like touring bikes + number of bikers who do not like touring bikes

a + b = 47

a + 5 = 47

a = 42

And now from column number 1.

a + c = 70

42 + c = 70

c = 70 - 42 = 28

From column 3

47 + d = 80

d = 80 - 47 = 33

Finally the values are a = 42, b = 5, c = 28, d = 33 and e = 10.

Option B. is the answer.