How many quarts equals five gallons, and how many liters equals five gallons?

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How many quarts equals five gallons, and how many liters equals five gallons?

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Answer 1 · 2016-05-05T15:00:16

$5 US gallons \approx 18.925 litres$ $" 5 US gallons"~~18.925 " litres"$
$5 US gallons = 20 quarts$ $" 5 US gallons = 20 quarts"$

Explanation:

The name 'quart' sounds like quarter $\to \frac{1}{4}$ $->1/4$

From this you can see the link between 4 quarts = 1 gallon
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$Solving for quarts in 5 gallons$ $color(blue)("Solving for quarts in 5 gallons")$

$showing every step$ $color(brown)("showing every step")$

Using ratios $\frac{quarts}{gallons} \to \frac{4 quarts}{1 gallon}$ $("quarts")/("gallons") -> ("4 quarts")/("1 gallon")$

But we need 5 gallons.

Then $\frac{4}{1} = \frac{quarts count}{5}$ $4/1=("quarts count")/5$

Multiply both sides by 5

$\frac{4}{1} \times 5 = \frac{quarts count}{5} \times 5$ $4/1xx5=("quarts count")/5xx5$

Write as $4 \times 5 = quarts count \times \frac{5}{5}$ $4xx5="quarts count" xx5/5$

But $\frac{5}{5} = 1$ $5/5 = 1$

$4 \times 5 = quarts count \times 1$ $4xx5="quarts count" xx1$

$20 = quarts count$ $20="quarts count"$

$So 20 quarts make 5 gallons.$ $color(blue)("So 20 quarts make 5 gallons.")$

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$Solving for litres in 5 US Gallons$ $color(blue)("Solving for litres in 5 US Gallons")$

$Not showing every step$ $color(brown)("Not showing every step")$

Understood that 3.785411784 litres = 1 US Gallon
Use litre conversion as 3.785

As a ratio

$\frac{3.785 litres}{1 US gallon} = \frac{litres count}{5}$ $(3.785" litres")/(1" US gallon") = ("litres count")/5$

$litres count \approx 5 (3.785) \approx 18.925 litres ~~ 5 US gallons$ $color(blue)("litres count"~~5(3.785)~~18.925 " litres ~~ 5 US gallons")$

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How many quarts equals five gallons, and how many liters equals five gallons?

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