Question

which proportion could you use to convert 32 quarts to gallons?
\\(\frac{4\text{ quarts}}{1\text{ gallon}} = \frac{?\text{ gallons}}{32\text{ quarts}}\\)
\\(\frac{4\text{ quarts}}{1\text{ gallon}} = \frac{32\text{ quarts}}{?\text{ gallons}}\\)
convert.
32 quarts = gallons

Explanation:

Step1: Identify the conversion ratio

We know 4 quarts = 1 gallon. To convert 32 quarts to gallons, we set up a proportion where the ratio of quarts to gallons is the same on both sides. The correct proportion is $\frac{4\text{ quarts}}{1\text{ gallon}}=\frac{32\text{ quarts}}{?\text{ gallons}}$.

Step2: Solve the proportion

Let the number of gallons be $x$. We have $\frac{4}{1}=\frac{32}{x}$. Cross - multiply: $4x = 32\times1$. Then $x=\frac{32}{4}=8$.

Answer:

8