High School

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

Answer :

Sets of ingredients are in a proportion with salad recipe :

B) 6Tbsp oil, 1.5 Tbsp vinegar, 1Tbsp honey

D) 18Tbsp oil, 4.5 Tbsp vinegar, 3Tbsp honey

E) 24Tbsp oil, 6 Tbsp vinegar, 4Tbsp honey

As given,

Sets of ingredients are in proportion with salad recipe proportion

Oil to Vinegar

[tex]\frac{12}{3} =\frac{6}{1.5}=\frac{18}{4.5} =\frac{24}{6} =4[/tex]

Vinegar to honey

[tex]\frac{3}{2} =\frac{1.5}{1}=\frac{4.5}{3} =\frac{6}{4} =1.5[/tex]

Oil to honey

[tex]\frac{12}{2} =\frac{6}{1}=\frac{18}{3} =\frac{24}{4} =6[/tex]

Therefore, sets of ingredients are in a proportion with the salad recipe:

B) 6Tbsp oil, 1.5 Tbsp vinegar, 1 Tbsp honey

D) 18Tbsp oil, 4.5 Tbsp vinegar, 3 Tbsp honey

E) 24Tbsp oil, 6 Tbsp vinegar, 4 Tbsp honey

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