At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
You can start with the number of cups and how much they hold. There are 25 cups. Each cup holds 12 fl oz. How many fluid ounces total are needed?
300 fl oz.
Great. We have 300 fl oz. Now we need to covert that to gallons.
Since we have conversion factors from fl oz to qt and from qt to gal, let's do the conversion in two steps.
Each conversion factor you apply is multiplied or divided by the number you have. Remember this, conversion factors are multiplied or divided.
So would you divide 300 by 32? which is 1qt.
Which would equal 9.
The conversion factor from fl oz to qt is 32. Now we need to decide if we multiply or divide.
This is how you decide. If 1 qt is 32 fl oz, what unit is larger, a qt or a fl oz?
Right. Since a qt is larger than a fl oz, if you have a certain volume, like we have 300 fl oz, it will be fewer number of qts than the number of fl oz. The same volume in qt and in fl oz will be a larger number in fl oz than in qt since a qt is larger than a fl oz. Do you understand this?
Yes I understand.
Here is an example to make this clearer. 1 foot equals 12 inches. 1 foot and 12 inches are exactly the same length. When you use the larger unit, ft, you have only 1, a smaller number. When you use the smaller unit, inches, you have 12, a larger number. In general, the same quantity, length, volume, area, etc. if measured with small units will give you larger number, if measured with larger units will give you a smaller number.
Great. Back to our problem.
The conversion factor between fl oz and qt is 32. We now need to decide if we multiply 300 fl oz by 32 or divide by 32 to get qt. 300 fl oz is measured in a small unit, fl oz. We now want it in qt, a larger unit. Since the number of qt must be less than 300, we must divide 300 by 32 to get qt.
Good, but for now, keep it as 9.375 qt. Round it off in the last step after converting to gallons. After you divide 300 fl by 32, you have the volume in qt. Now you need to go from qt to gal. Again, you are going from a smaller unit, qt, to a larger unit, gal. That means there will be fewer gallons than quarts, so you need to divide by the conversion factor to get a smaller number. The conversion factor from qt to gal is 4, so divide the number of qt by 4 to get gal.
So 9.375/4 = 2.343
Correct. That is the volume in gallons. What is the final answer? How many gallons of juice must Earl buy?
That is correct. In this type of problem, the final answer must be rounded up. You got it. Great job!
Thank you very much I appreciate your help!