What is the maximum number of half-pint bottles of cream that can be filled with a 4-gallon can of cream? (2pt. = 1qt. and 4qt. = 1gal.)

### Concept & Strategy To find the number of bottles that can be filled, you must establish unit consistency. Convert the total volume from gallons into pints before dividing by the volume of a single bottle. $$Total\ Bottles = \frac{Total\ Volume\ (in\ pints)}{Volume\ per\ Bottle\ (in\ pints)}$$ ### Step-by-Step Solution * **Given:** * Total volume = 4 gallons * Bottle capacity = 0.5 pints (half-pint) * 1 gallon = 4 quarts * 1 quart = 2 pints * **Calculation:** 1. First, find how many pints are in a single gallon: $1\ gallon = 4\ quarts \times 2\ pints/quart = 8\ pints$. 2. Next, calculate the total pints in the 4-gallon can: $4\ gallons \times 8\ pints/gallon = 32\ pints$. 3. Finally, divide the total pints by the capacity of one bottle: $32\ pints / 0.5\ pints = 64$ bottles. ### Exam Strategy & Shortcut You can calculate this purely using multiplier logic without writing equations. 1 gallon contains 8 pints, which equals 16 half-pints. If 1 gallon fills 16 bottles, then 4 gallons will fill $4 \times 16 = 64$ bottles. ### Common Pitfall Students often divide by 2 instead of dividing by 0.5 when processing the phrase "half-pint". Dividing 32 by 2 gives 16, which is a distractor option. Remember that dividing by a half is the same as multiplying by 2. ### Final Answer **Therefore, the correct answer is 64.**