12 gallons
Further explanation
Given:
Three gallons of water fill ¹/₄ of the elephant's pail at the zoo.
Question:
How much water does the pail hold?
The Process:
Let's see. Three gallons of water fill 1 in 4 parts of the elephant's pail at the zoo.
Let us determine how much water does the pail hold in a way that is 3 divided by 1/4.
\(\boxed{ \ Recall \ that \ \boxed{\ a \div \frac{b}{c} = a \times \frac{c}{b} \ }}\)
\(\boxed{ \ = 3 \div \frac{1}{4} \ }\)
\(\boxed{ \ = 3 \times \frac{4}{1} \ }\)
\(\boxed{\boxed{ \ 12 \ gallons \ }}\)
Thus, the pail holds 12 gallons of water.
- - - - - - - - - -
Let's look once more. Now with a model for the elephant's pail at the zoo. Remember that three gallons of water fill 1 in 4 parts of the elephant's pail at the zoo.
\(\boxed{3 \ gal}\boxed{3 \ gal}\boxed{3 \ gal}\boxed{3 \ gal}\)
We make a whole pail consisting of 4 parts with 3 gallons each so that the total is 3 + 3 + 3 + 3 or 3 x 4 = 12 gallons.
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Keywords: three gallons of water, fill ¹/₄ of the elephant's pail, at the zoo, how much water, 12 gallons
