Answer:
[tex]1\ gallon = 128\ fl\ oz[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{2}\ gallon => 8\ cups[/tex]
[tex]32\ fl\ oz => 4\ cups[/tex]
Required:
Relationship between gallon and ounces
[tex]\frac{1}{2}\ gallon => 8\ cups[/tex] -- (1)
[tex]32\ fl\ oz => 4\ cups[/tex] -- (2)
Multiply 2 by 2
[tex]2 * 32\ fl\ oz => 4\ cups * 2[/tex]
[tex]64\ fl\ oz => 8\ cups[/tex] --- (3)
The expressions in (1) and (3) are equivalent to 8 cups;
They can be combined to give:
[tex]\frac{1}{2}\ gallon = 64\ fl\ oz[/tex]
Multiply both sides by 2
[tex]2 * \frac{1}{2}\ gallon = 64\ fl\ oz * 2[/tex]
[tex]1\ gallon = 128\ fl\ oz[/tex]