p's and q's

Algebra Level 1

If p p 2 q = 3 \dfrac{p}{p-2q}=3 then p q \dfrac{p}{q} equals


The answer is 3.

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4 solutions

Karthik Sharma
Jul 17, 2014

p p 2 q = 3 \frac{p}{p-2q} =3

p 2 q p = 1 3 \frac{p-2q}{p} =\frac{1}{3}

1 - 2 q p = 1 3 \frac{2q}{p} =\frac{1}{3}

2 q p = 2 3 \frac{2q}{p} =\frac{2}{3}

q p = 1 3 \frac{q}{p} =\frac{1}{3}

p q = 3 \frac{p}{q} =3

Gonna Sing
Jul 23, 2014
  • p/(p-2q)=3
  • p=3p-6q
  • p-3p=-6q
  • p/q= -6/-3
  • p/q = 3
Esrael Santillan
Jul 22, 2014

p ( p 2 q ) = 3 p = 3 ( p 2 q ) p = 3 p 6 q p 3 p = 6 q 2 p = 6 q p q = 6 2 p q = 3 \begin{aligned} \frac{p}{(p-2q)} &= 3 &\\ p &= 3(p-2q) \\ p &= 3p - 6q \\ p - 3p &= -6q \\ -2p &= -6q \\ \frac{p}{q} &= \frac{-6}{-2} \\ \frac{p}{q} &= \boxed{3} \\ \end{aligned}

Bazmi Farooquee
Jul 17, 2014

P/(p - 2q)= 3 P=3×(p - 2q) P=3p - 6q P - 3p= - 6q - 2p= - 6q - 2p/-6=q p/3=q

Now, p=3q P/q = 3 Answer.....!

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