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Math  /  Numbers & Operations

QuestionWhich proportion could you use to convert 8 quarts to gallons? 4 quarts 1 gallon =8 quarts ? gallons \frac{4 \text { quarts }}{1 \text { gallon }}=\frac{8 \text { quarts }}{? \text { gallons }} 2 quarts 1 gallon =8 quarts ? gallons \frac{2 \text { quarts }}{1 \text { gallon }}=\frac{8 \text { quarts }}{? \text { gallons }}
Convert. 8 quarts = □\square gallons

Studdy Solution

STEP 1

1. There are 4 4 quarts in 1 1 gallon.
2. We need to convert 8 8 quarts to gallons using the correct proportion.

STEP 2

1. Identify the correct proportion.
2. Set up the equation using the correct proportion.
3. Solve the equation to find the number of gallons.

STEP 3

Identify the correct proportion based on the conversion factor of quarts to gallons.
The correct proportion is: 4 quarts1 gallon=8 quarts? gallons\frac{4 \text{ quarts}}{1 \text{ gallon}} = \frac{8 \text{ quarts}}{? \text{ gallons}}

STEP 4

Set up the equation using the identified proportion.
Let x x be the number of gallons. The equation is: 41=8x\frac{4}{1} = \frac{8}{x}

STEP 5

Solve the equation to find x x .
Multiply both sides by x x to isolate it: 4x=84x = 8
Divide both sides by 4 4 to solve for x x : x=84=2x = \frac{8}{4} = 2
The conversion result is:
8 quarts=2 gallons8 \text{ quarts} = \boxed{2} \text{ gallons}

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