if one juice cup has 12oz, how many in 35?
[tex]\bf \begin{array}{ccllll}
cups&oz\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
1&12\\
35&x
\end{array}\implies \cfrac{1}{35}=\cfrac{12}{x}\implies x=35\cdot 12\implies x=420[/tex]
if there are 128 ounces in a US gallon, how many gallons are there in 420 fluid ounces?
[tex]\bf \begin{array}{ccllll}
cups&gallon\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
128&1\\
420&g
\end{array}\implies \cfrac{128}{420}=\cfrac{1}{g}\implies \cfrac{32}{105}=\cfrac{1}{g}\implies 32g=105
\\\\\\
g=\cfrac{105}{32}\implies g=3.28125[/tex]
