Questions: A chef adjusts a recipe to feed a large crowd. The adjusted recipe requires 48 cups of milk. How many gallons of milk does the chef need for the new recipe?
Transcript text: A chef adjusts a recipe to feed a large crowd. The adjusted recipe requires 48 cups of milk. How many gallons of milk does the chef need for the new recipe?
Solution
Solution Steps
Step 1: Identify the Conversion Factor
To convert cups to gallons, we use the conversion factor:
\[
1 \text{ gallon} = 16 \text{ cups}
\]
Step 2: Set Up the Calculation
Given that the chef needs \(48\) cups of milk, we can set up the equation to find the number of gallons needed:
\[
\text{gallons of milk} = \frac{\text{cups of milk}}{\text{cups per gallon}} = \frac{48}{16}
\]
Step 3: Perform the Calculation
Calculating the above expression:
\[
\text{gallons of milk} = \frac{48}{16} = 3.0
\]
Final Answer
The chef needs \\(\boxed{3.0}\\) gallons of milk for the new recipe.