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Difficulty: MediumUS Customary Capacity and Volume

A cosmetics laboratory prepares a bulk batch of hand sanitizer containing 33 gallons and 22 quarts. The sanitizer will be packaged into small travel bottles that hold 44 fluid ounces each. How many travel bottles can be completely filled from this batch?

Answer: 112 bottles

Answer

112
The correct answer is found by first unifying the entire volume into fluid ounces. Converting the 3 gallons into quarts yields 12 quarts. Adding the extra 2 quarts brings the total to 14 quarts. Because there are 32 fluid ounces in a single quart, you multiply 14 by 32 to determine the batch contains 448 fluid ounces. Dividing this total by the 4-ounce capacity per bottle yields exactly 112 bottles.

Step-by-Step Solution

1
Convert the gallons portion to quarts.
3 gallons = 12 quarts
Converting to a smaller common unit makes it easier to combine the total volume.
2
Find the total volume in quarts.
12 quarts + 2 quarts = 14 quarts
This gives the complete batch size in a single unit.
3
Convert the total quarts to fluid ounces.
14 quarts × 32 fluid ounces/quart = 448 fluid ounces
The bottles are measured in fluid ounces, so the total volume must match this unit before dividing.
4
Divide the total fluid ounces by the capacity of each bottle.
448 ÷ 4 = 112
This determines the exact number of travel bottles that can be filled.

Key Concept

Converting mixed US customary volume units (gallons and quarts) to fluid ounces and dividing by a unit rate.
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Topics

US Customary Capacity and Volume

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