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Question:
There are 33.8 fluid ounces in a litre. There are 128 fluid ounces in a gallon. About how many litres are in a gallon?
Is your estimate larger or smaller than the actual number of litres in a gallon? Explain how you know
Answer:
It is larger
Step-by-step explanation:
Given
[tex]33.8\ fl\ oz = 1\ litre[/tex]
[tex]128\ fl\ oz = 1\ gallon[/tex]
Required
Estimate number of litres in a gallon
[tex]33.8\ fl\ oz = 1\ litre[/tex]
[tex]128\ fl\ oz = 1\ gallon[/tex]
Cross Multiply
[tex]128\ fl\ oz * 1\ litre = 33.8\ fl\ oz * 1\ gallon[/tex]
[tex]128 * 1\ litre = 33.8* 1\ gallon[/tex]
Divide both sides by 33.8
[tex]\frac{128 * 1\ litre}{33.8} = \frac{33.8* 1\ gallon}{33.8}[/tex]
[tex]\frac{128 * 1\ litre}{33.8} = 1\ gallon[/tex]
[tex]3.78698224852\ litre = 1\ gallon[/tex]
Approximate
[tex]3.787\ litres = 1\ gallon[/tex]
The estimate is larger than the actual litres to gallon conversion because, in standard units of conversion;
[tex]3.785\ litres = 1\ gallon[/tex]