Question

Ms. math's pasta sauce recipe uses 9 tomatoes for every 6 teaspoons oil. select all of the true statements

the recipe uses 6/9 teaspoons of oil per tomato
the recipe uses 6/9 tomatoes per teaspoon of oil
he needs 6 tomatoes for every 9 teaspoons of oil
he needs 2 teaspoons of oil for every 3 tomatoes.
he needs 3 tomatoes for every 2 teaspoons of oil.

Answer 1

The correct statements are that the recipe uses 6/9 tomatoes per teaspoon of oil and that 2 teaspoons of oil are needed for every 3 tomatoes. The other given statements are incorrect due to ratio inconsistencies.

Step-by-step explanation:

The question presents a recipe scenario where Ms. Math uses 9 tomatoes for every 6 teaspoons of oil. To determine which statements are true, we need to analyze the ratios given in the question.

• The recipe uses 6/9 tomatoes per teaspoon of oil, this is correct by simplifying the given ratio of tomatoes to oil.
• The statement that he needs 6 tomatoes for every 9 teaspoons of oil is incorrect because it inverses the correct ratio.
• He needs 2 teaspoons of oil for every 3 tomatoes is correct as the original ratio reduces down to this equivalent ratio (9 tomatoes : 6 teaspoons = 3 tomatoes : 2 teaspoons).
• He needs 3 tomatoes for every 2 teaspoons of oil is incorrect, as it reverses the correct simplified ratio.

We can dismiss the statement that the recipe uses 6/9 teaspoons of oil per tomato since it is not in accordance with the original ratio either.