P varies directly as Q and inversely as R. When Q = 36 and R = 16, P = 27. Find the relation between P, Q and R.

A.
(P = frac{Q}{12R}) 
B.
(P = frac{12Q}{R}) 
C.
(P = 12QR) 
D.
(P = frac{12}{QR})
Correct Answer: Option B
Explanation
(P propto frac{Q}{R})
(P = K frac{Q}{R})
When Q = 36, R = 16, P = 27
Then substitute into the equation
(27 = K frac{36}{16})
(K = frac{27 times 16}{36})
(K = 12)
So the equation connecting P, Q and R is
(P = frac{12Q}{R})
There is an explanation video available below.