26. A macaroni and cheese recipe calls for 1/2 cup of flour for every 1 cup of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
Answer: B
The amount of milk needed for the bigger batch is 4 cups.
To maintain the same ratio of flour to milk in the macaroni and cheese recipe, if the chef uses 2 cups of flour, he would need 4 cups of milk, as the ratio is 1/2 cup of flour for every cup of milk.
A) 2 2/5 cups
This option does not maintain the correct ratio of flour to milk given in the recipe. If the chef used 2 cups of flour, 2 2/5 cups of milk would be insufficient since it does not equate to the necessary doubling of milk to match the flour used.
B) 4 cups
This option correctly follows the recipe's ratio. Since the recipe uses 1/2 cup of flour for every 1 cup of milk, using 2 cups of flour would require 4 cups of milk to maintain the same proportions.
C) 3 8/15 cups
This amount also fails to maintain the proper ratio of flour to milk as specified in the recipe. Using 3 8/15 cups of milk with 2 cups of flour would not satisfy the required amount of milk based on the original recipe's ratio.
D) 6 cups
While 6 cups of milk might seem like a generous amount, it actually exceeds the necessary quantity based on the 2 cups of flour. The recipe's ratio dictates that only 4 cups of milk are needed for 2 cups of flour.
Conclusion
The correct answer is 4 cups of milk, aligning perfectly with the established ratio of flour to milk in the macaroni and cheese recipe. All other options fail to provide the necessary balance required by the recipe’s proportions, making them incorrect for this larger batch.