Question

How many bottles do I need if I want to fill up 35 juice cups and each juice cup holds 12 fluid ounces?

Answer 1

if one juice cup has 12oz, how many in 35?


`\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`

if there are 128 ounces in a US gallon, how many gallons are there in 420 fluid ounces?


`\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`