Question

A tank containing 64 gallons lost 6 1/4% of this through leakage how much is remaining is the tank

Answer 1

60 gallons of gas remained in the tank.

Explanation:

1) 6 1/4 = 6.25

2) 64*6.25% = 4 OR 64*6 1/4 = 4

3) 64 - 4 = 60

Answer 2

if we take 64 to be the 100%, how much is 6¼% off of it?

`\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 64&100\\ x&6(1)/(4) \end{array}\implies \cfrac{64}{x}=\cfrac{100}{6(1)/(4)}\implies \cfrac{64}{x}=\cfrac{(100)/(1)}{(25)/(4)}\implies \cfrac{64}{x}=\cfrac{100}{1}\cdot \cfrac{4}{25} \\\\\\ \cfrac{64}{x}=16\implies 64=16x\implies \cfrac{64}{16}=x\implies 4=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{it had}}{64}-\stackrel{\textit{leakage}}{4}\implies \stackrel{\textit{remaining}}{60}`