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"~~18.925 " litres"#
#" 5 US gallons = 20 quarts"#

The name 'quart' sounds like quarter #->1/4#

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

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

Using ratios #("quarts")/("gallons") -> ("4 quarts")/("1 gallon")#

But we need 5 gallons.

Then #4/1=("quarts count")/5#

Multiply both sides by 5

#4/1xx5=("quarts count")/5xx5#

Write as #4xx5="quarts count" xx5/5#

But #5/5 = 1#

#4xx5="quarts count" xx1#

#20="quarts count"#

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

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

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

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

As a ratio

#(3.785" litres")/(1" US gallon") = ("litres count")/5#

#color(blue)("litres count"~~5(3.785)~~18.925 " litres ~~ 5 US gallons")#