Question

	likes touring bikes	does not like touring bikes	total
does not like mountain bikes	c	5	d
total	70	e	80

what are the correct values of a, b, c, d, and e?
\\(\circ\\) \\(a = 42, b = 28, c = 33, d = 5, e = 10\\)
\\(\circ\\) \\(a = 42, b = 5, c = 28, d = 33, e = 10\\)
\\(\circ\\) \\(a = 5, b = 42, c = 28, d = 10, e = 33\\)
\\(\circ\\) \\(a = 5, b = 10, c = 28, d = 33, e = 42\\)

Explanation:

Step1: Solve for e

$e = 80 - 70 = 10$

Step2: Solve for b

$b = e - 5 = 10 - 5 = 5$

Step3: Solve for a

$a = 47 - b = 47 - 5 = 42$

Step4: Solve for c

$c = 70 - a = 70 - 42 = 28$

Step5: Solve for d

$d = 80 - 47 = 33$

Answer:

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