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GrogVix [38]
3 years ago
13

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

Mathematics
2 answers:
jolli1 [7]3 years ago
4 0

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\frac{1}{4} \end{array}\implies \cfrac{64}{x}=\cfrac{100}{6\frac{1}{4}}\implies \cfrac{64}{x}=\cfrac{\frac{100}{1}}{\frac{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}

lilavasa [31]3 years ago
3 0

Answer:

60 gallons of gas remained in the tank.

Step-by-step explanation:

1) <u>6 1/4 = 6.25</u>

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

3)<u> 64 - 4 = 60</u>

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