| | likes touring bikes | does not like touring bikes | total |\n|--|--|--|--|\n| likes mountain bikes | a |…

| | likes touring bikes | does not like touring bikes | total |\n|--|--|--|--|\n| likes mountain bikes | a | b | 47 |\n| does not like mountain bikes | c | 5 | d |\n| total | 70 | e | 80 |\nwhat are the correct values of a, b, c, d, and e?\no a = 42, b = 28, c = 33, d = 5, e = 10\no a = 42, b = 5, c = 28, d = 33, e = 10\no a = 5, b = 42, c = 28, d = 10, e = 33\no a = 5, b = 10, c = 28, d = 33, e = 42

| | likes touring bikes | does not like touring bikes | total |\n|--|--|--|--|\n| likes mountain bikes | a | b | 47 |\n| does not like mountain bikes | c | 5 | d |\n| total | 70 | e | 80 |\nwhat are the correct values of a, b, c, d, and e?\no a = 42, b = 28, c = 33, d = 5, e = 10\no a = 42, b = 5, c = 28, d = 33, e = 10\no a = 5, b = 42, c = 28, d = 10, e = 33\no a = 5, b = 10, c = 28, d = 33, e = 42

Answer

Explanation:

Step1: Find the value of e

The total number of people surveyed is 80 and the number of people who like touring bikes is 70. So, the number of people who do not like touring bikes is $e=80 - 70=10$.

Step2: Find the value of b

Since the number of people who do not like touring bikes is $e = 10$ and the number of people who do not like touring bikes and do not like mountain - bikes is 5, then the number of people who like mountain bikes but do not like touring bikes is $b=10 - 5 = 5$.

Step3: Find the value of a

The number of people who like mountain bikes is 47 and $b = 5$, so the number of people who like both mountain bikes and touring bikes is $a=47 - 5=42$.

Step4: Find the value of c

The number of people who like touring bikes is 70 and $a = 42$, so the number of people who do not like mountain bikes but like touring bikes is $c=70 - 42 = 28$.

Step5: Find the value of d

The number of people who do not like mountain bikes and do not like touring bikes is 5 and $c = 28$, so the number of people who do not like mountain bikes is $d=28 + 5=33$.

Answer:

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