SOLUTION: If M is 30% of Q, Q is 20% of P, and N is 50% of P, then M/N = (A 3/250 b) 3/25 c) 1 d) 6/5 e) 4/3

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: If M is 30% of Q, Q is 20% of P, and N is 50% of P, then M/N = (A 3/250 b) 3/25 c) 1 d) 6/5 e) 4/3       Log On


   

Question 248899: If M is 30% of Q, Q is 20% of P, and N is 50% of P, then M/N =
(A 3/250 b) 3/25 c) 1 d) 6/5 e) 4/3


Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
m = .3*q
q = .2*p
n = .5*p

m/n = ?????

replace n with .5*p to get:

m/(.5*p)

since q = .2*p, this means that p = (q/.2)

replace p with (q/.2) to get:

m/(.5*p) = m/(.5*(q/.2)) = m/(2.5*q)

Since m = .3*q, this means that q = (m/.3)

replace q with (m/.3) to get:

m/(2.5*q) = m/(2.5*(m/.3)) = m/(8.33333333*m) = 1/8.33333333 = .12.

Your answer should be .12.

That would be selection (b) since .12 = 3/25.