How many ounces are in 2 & a half gallons

Asked by admin @ 05/11/2021 in Mathematics viewed by 298 People

A 1/2-gallon jug of milk can fill 8 cups, while 32 fluid ounces of milk can fill 4 cups.

What is the relationship between number of gallons and ounces? If you get stuck, try
creating a table.

Answered by admin @ 05/11/2021

Answer:

$1\ gallon = 128\ fl\ oz$

Step-by-step explanation:

Given

$\frac{1}{2}\ gallon => 8\ cups$

$32\ fl\ oz => 4\ cups$

Required:

Relationship between gallon and ounces

$\frac{1}{2}\ gallon => 8\ cups$ -- (1)

$32\ fl\ oz => 4\ cups$ -- (2)

Multiply 2 by 2

$2 * 32\ fl\ oz => 4\ cups * 2$

$64\ fl\ oz => 8\ cups$ --- (3)

The expressions in (1) and (3) are equivalent to 8 cups;

They can be combined to give:

$\frac{1}{2}\ gallon = 64\ fl\ oz$

Multiply both sides by 2

$2 * \frac{1}{2}\ gallon = 64\ fl\ oz * 2$

$1\ gallon = 128\ fl\ oz$

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