Answer :
Answer:
9 tablespoons of hot sauce
27 tablespoons of ketchup
Step-by-step explanation:
We know that Jen uses 3x as many tablespoons of ketchup as to hot sauce. We know she is making 36 tablespoons dipping sauce total.
SO, we make the equation x + 3x = 36
we group like terms and have 4x = 36
we need to divide both side by 4 and get 9
this means that we use a total of 9 tablespoons of hot sauce and 27 tablespoons of ketchup.
Final answer:
To prepare 36 tablespoons of dipping sauce, maintaining the ratio of 3:1 for ketchup to hot sauce, Jen will need 27 tablespoons of ketchup and 9 tablespoons of hot sauce.
Explanation:
The problem involves the use of proportions to solve a recipe measurement problem. We know that Jen uses 3 tablespoons of ketchup for every 1 tablespoon of hot sauce. Therefore, for every 4 tablespoons of dipping sauce (i.e., 3 tablespoons of ketchup + 1 tablespoon of hot sauce), she uses 3 tablespoons of ketchup and 1 tablespoon of hot sauce.
So, if she is making a total of 36 tablespoons of dipping sauce, we first need to figure out how many 'sets' of 4 tablespoons she needs. 36 divided by 4 is 9, thus there are 9 sets of 4 tablespoons in 36 tablespoons.
Therefore, to keep the same proportion and flavor, Jen will need 9 sets of 3 tablespoons ketchup, which is 27 tablespoons (9 * 3), and 9 sets of 1 tablespoon hot sauce, which is 9 tablespoons (9 * 1). Hence for 36 tablespoons of dipping sauce, she will need 27 tablespoons of ketchup and 9 tablespoons of hot sauce.
Learn more about Proportions here:
https://brainly.com/question/34018947
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