Subjects unit conversion

Ounces To Gallons B997E5

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Question: Convert 512 ounces to gallons. (1 pint = 16 ounces; 1 quart = 2 pints; 1 gallon = 4 quarts)
1. **State the problem:** Convert $512$ ounces to gallons using the given unit conversions. 2. **Recall the conversion factors:** - $1$ pint = $16$ ounces - $1$ quart = $2$ pints - $1$ gallon = $4$ quarts 3. **Convert ounces to pints:** $$\text{pints} = \frac{512 \text{ ounces}}{16 \text{ ounces per pint}}$$ $$= \frac{512}{16} = 32 \text{ pints}$$ 4. **Convert pints to quarts:** $$\text{quarts} = \frac{32 \text{ pints}}{2 \text{ pints per quart}}$$ $$= \frac{32}{2} = 16 \text{ quarts}$$ 5. **Convert quarts to gallons:** $$\text{gallons} = \frac{16 \text{ quarts}}{4 \text{ quarts per gallon}}$$ $$= \frac{16}{4} = 4 \text{ gallons}$$ 6. **Final answer:** $$512 \text{ ounces} = 4 \text{ gallons}$$ This means $512$ ounces is equivalent to $4$ gallons.