Question on: WAEC Mathematics - 2013

Given that p(\frac{1}{3}) = (\frac{3\sqrt{q}}{r}), make q the subject of the equation

A
q = p\(\sqrt{r}\)
B
q = p3r
C
q = pr3
D
q = pr\(\frac{1}{3}\)
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Correct Option: D

p(\frac{1}{3}) = (\frac{3\sqrt{q}}{r})(cross multiply)

3(\sqrt{q}) = r x 3(\frac{\sqrt{q}}{r})(cross multiply)

3(\sqrt{q}) = r x 3(\sqrt{p}) cube root both side

q = 3(\sqrt{r}) x p

q = r(\frac{1}{3})p = pr(\frac{1}{3})

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