A macaroni and cheese recipe calls for 1/3 cup of flour for every 1 1/5 cups 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?

Rationale

The chef would need 7 1/5 cups of milk to make a bigger batch of macaroni and cheese.

The problem can be approached by setting up a proportion based on the given ratio of flour to milk. The original recipe calls for 1/3 cup of flour for 1 1/5 cups of milk, and the chef uses 2 cups of flour for the bigger batch. Therefore, the amount of milk needed can be found by cross-multiplying in the proportion.

A (2 2/5 cups) YOUR ANSWER

The amount of milk required cannot be 2 2/5 cups because this is less than the amount used in the original recipe, while more flour is being used for the bigger batch. This would break the ratio of flour to milk and make the cheese sauce too thick.

B (7 1/5 cups) CORRECT

This is the correct amount of milk needed in the bigger batch. By setting up the proportion (1/3) / (1 1/5) = 2 / x and solving for x, we get 7 1/5 cups. This maintains the original ratio of flour to milk, ensuring the consistency of the cheese sauce is correct.

C (6 cups) YOUR ANSWER

The amount of milk cannot be 6 cups because this does not maintain the original ratio of flour to milk. Using less milk would make the cheese sauce too thick.

D (3 8/15 cups) YOUR ANSWER

The amount of milk cannot be 3 8/15 cups because this is significantly less than the amount used in the original recipe, while more flour is being used for the bigger batch. This would break the ratio of flour to milk and make the cheese sauce too thick.

Conclusion

In order to maintain the consistency of the cheese sauce in the macaroni and cheese recipe, the original ratio of flour to milk must be preserved when scaling up the recipe. Therefore, when the chef uses 2 cups of flour, they would need 7 1/5 cups of milk. All other amounts of milk would break the original ratio and change the consistency of the sauce.

A macaroni and cheese recipe calls for 1/3 cup of flour for every 1 1/5 cups 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?

The chef would need 7 1/5 cups of milk to make a bigger batch of macaroni and cheese.

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