Final answer:
To determine the quantities of salt and sugar used, we multiply the amount required by the original recipe to fit the scaled-up quantity of cookies (144 cookies). Sam would use 1 tablespoon of salt and 6 tablespoons of sugar, but this result doesn't match any given answer choices, indicating a potential error.
Step-by-step explanation:
To calculate how much salt and sugar Sam used to make 144 cookies, we need to first determine how many times the original recipe for three dozen (36) cookies was used to make 144 cookies. We do this by dividing 144 cookies by the 36 cookies that the original recipe yields:
144 cookies ÷ 36 cookies per recipe = 4 recipes
Since each recipe requires 1/4 tablespoon of salt and 1 1/2 tablespoons of sugar, we can find the total amounts used by multiplying these quantities by 4:
- Salt: 1/4 tablespoon × 4 = 1 tablespoon
- Sugar: 1 1/2 tablespoons × 4 = 6 tablespoons
Therefore, Sam used 1 tablespoon of salt and 6 tablespoons of sugar to make 144 cookies. However, none of the provided answer choices exactly matches our calculations. Thus, there seems to be a discrepancy, and it would be necessary to clarify the correct quantities or the provided answer choices.