19. 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?
Answer: B
7 1/5 cups of milk are needed for the bigger batch.
To maintain the ratio of flour to milk in the macaroni and cheese recipe, if the chef uses 2 cups of flour, the corresponding amount of milk required is 7 1/5 cups.
A) 2 2/5 cups
This option is incorrect because it suggests a significantly lower amount of milk compared to the flour used. Given the original ratio, the amount of milk should be much higher than this figure.
B) 7 1/5 cups
This option is correct as it properly reflects the scaled-up ratio of flour to milk. The original ratio of 1/3 cup of flour for every 1 1/5 cups of milk translates to 2 cups of flour requiring 7 1/5 cups of milk to maintain the same proportion.
C) 6 cups
This option is incorrect since it does not match the required amount of milk based on the ratio derived from the original recipe. The calculated proportion shows that more milk is necessary than this amount to align with the flour used.
D) 3 8/15 cups
This option is also incorrect as it underestimates the required amount of milk. Given the ratio from the recipe, this volume is insufficient when 2 cups of flour are being utilized.
Conclusion
7 1/5 cups of milk is the correct answer as it accurately maintains the ratio established in the original recipe when the amount of flour is increased to 2 cups. All other options fail to adhere to the necessary proportions, resulting in inadequate amounts of milk for the increased flour.