The recipe for the pancake batter calls for 3/4 cup of milk.The students wants to make a batch of pancake batter that will quadruple the recipe.How much milk will they need in all?
The Correct Answer and Explanation is :
To find out how much milk is needed to quadruple the pancake batter recipe that calls for ( \frac{3}{4} ) cup of milk, we can start by calculating the total amount of milk needed for the quadrupled recipe.
Step-by-step Calculation
- Understand Quadrupling: Quadrupling a recipe means multiplying each ingredient by 4. In this case, we need to multiply the ( \frac{3}{4} ) cup of milk by 4.
- Multiplication:
[
\frac{3}{4} \times 4
]
To multiply a fraction by a whole number, you multiply the numerator (top number) by the whole number while keeping the denominator (bottom number) the same. Therefore, it becomes:
[
\frac{3 \times 4}{4} = \frac{12}{4}
] - Simplification:
Now, simplify ( \frac{12}{4} ):
[
\frac{12}{4} = 3
]
So, when the recipe is quadrupled, the amount of milk required is 3 cups.
Explanation
When cooking or baking, understanding how to adjust recipes is essential, especially when preparing food for a larger group. In this example, the initial pancake recipe requires ( \frac{3}{4} ) cup of milk. If a group of students decides to quadruple the recipe, they are effectively increasing the quantity to serve more people or to make a larger batch of pancakes.
The process of multiplying the original measurement by 4 allows for precise adjustments while ensuring that the proportions of ingredients remain balanced. This is crucial in baking, as precise measurements are often key to achieving the desired texture and taste.
In summary, the students will need 3 cups of milk to make a quadruple batch of pancake batter. This example illustrates the importance of understanding fractions and multiplication in practical cooking scenarios, enabling one to scale recipes effectively while maintaining consistency in the final product.