Algebra

Compute a + 5b.

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$ab^2=\dfrac{27}{5}\\ a^2b=1080\\ b=\dfrac{1080}{a^2}\\ a\cdot (\dfrac{1080}{a^2})^2=\dfrac{27}{5}$

$\dfrac{1080^2}{a^3}=\dfrac{27}{5}\\ a=\sqrt[3]{\dfrac{5\cdot 1080^2}{27}}$

$a=60$

$b=\dfrac{1080}{60^2}$

$b=\dfrac{3}{10}$

$a+5b=61.5$

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