Middle School

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A salad dressing calls for 3 parts oil and 1 part vinegar.

Manuela uses 2 tablespoons of vinegar and 6 tablespoons of oil to make her salad dressing.

Answer :

Final answer:

Manuela's recipe uses a ratio of 3 parts oil to 1 part vinegar. Hence, using 2 tablespoons of vinegar would indeed require her to use 6 tablespoons of oil to maintain the recipe's flavor balance.

Explanation:

The subject of this question falls under Mathematics, specifically in the area of ratios. The salad dressing Manuela makes follows a ratio of 3 parts oil to 1 part vinegar. To understand this, for every tablespoon of vinegar she uses, she needs to use three tablespoons of oil to maintain the correct flavor balance her recipe calls for. So, when she uses 2 tablespoons of vinegar, she does indeed need to use 6 tablespoons of oil in her salad dressing, because 2 times 3 equals 6. This nicely maintains her recipe's 3:1 oil-to-vinegar ratio.

Learn more about Ratios here:

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Rewritten by : Barada

Answer:

The quantities used by Manuela were correct

Step-by-step explanation:

The question is

Did Manuela use the right quantities?

Let

x -----> the parts of oil

y ----> the parts of vinegar

we know that

The ratio of the parts of oil by the parts of vinegar of recipe is

[tex]\frac{x}{y} =\frac{3}{1}\frac{oil}{vinegar}[/tex]

Determine the relation used by Manuela

[tex]\frac{x}{y} =\frac{6}{2}[/tex]

Compare with the recipe

[tex]\frac{3}{1} =\frac{6}{2}[/tex]

[tex]3(2)=6(1)\\6=6[/tex]

Is true, the quantities are proportional

therefore

The quantities used by Manuela were correct