Question

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

Answer 1

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

Explanation:

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

From this you can see the link between 4 quarts = 1 gallon
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`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.")`

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`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")`