Question 9
A salad dressing recipe uses 12 parts oil, 3 parts vinegar, and 2 parts honey. Which of the following sets of ingredients are in a proportional
relationship with the recipe? Select all that apply.
A) 9 Tbsp oil, 2 Tbsp vinegar, 1.5 Tbsp honey
B) 6 Tbsp oil, 1.5 Tbsp vinegar, 1 Tbsp honey
C) 15 Tbsp oil, 4 Tbsp vinegar, 3 Tbsp honey
D) 18 Tbsp oil, 4.5 Tbsp vinegar, 3 Tbsp honey
E) 24 Tbsp oil, 6 Tbsp vinegar, 4 Tbsp honey

Proportions are commonly referred to as parts, portions, or numbers considered relative to the whole. The definition of ratio says that two ratios are proportional if they are equal.
A ratio is a mathematical comparison of two numbers. If two groups of given numbers increase or decrease in the same proportion, the proportions are said to be directly proportional to each other. Ratios are indicated by the symbols '::' or '='.

It is given that salad dressing recipe uses 12 parts oil, 3 parts vinegar, and 2 parts honey.

(A) We will compare the quantity of given element to the option .

[tex]\frac{12}{9} =\frac{3}{2} =\frac{2}{1.5} \\\\\frac{4}{3} \neq \frac{3}{2} \neq \frac{4}{3}[/tex]

As the given quantities are not equal so , they are not proportional .

(B) We will compare the quantity of given element to the option .

[tex]\frac{12}{6} =\frac{3}{1.5} =\frac{2}{1} \\\\\frac{2}{1} = \frac{2}{1} =\frac{2}{1}[/tex]

As the given quantities are equal so , they are proportional .

(C) We will compare the quantity of given element to the option .

[tex]\frac{12}{15} =\frac{3}{4} =\frac{2}{3} \\\\\frac{4}{5} \neq \frac{3}{4} \neq \frac{2}{3}[/tex]

As the given quantities are not equal so , they are not proportional .

(D) We will compare the quantity of given element to the option .

[tex]\frac{12}{18} =\frac{3}{4.5} =\frac{2}{3} \\\\\frac{2}{3} = \frac{2}{3} = \frac{2}{3}[/tex]

As the given quantities are equal so , they are proportional .

(E) We will compare the quantity of given element to the option .

[tex]\frac{12}{24} =\frac{3}{2} =\frac{2}{4} \\\\\frac{1}{2} \neq \frac{3}{2} \neq \frac{1}{2}[/tex]

As the given quantities are not equal so , they are not proportional .

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