A school principal wants to know what theme students prefer for the spring dance.

B) The same number of students from each grade whose names are randomly selected from a hat

E) 50 sixth graders, 67 seventh graders, and 62 eighth graders

Step-by-step explanation:

B) The reason B is correct is because if all grades get to pick, with the same amount of people from each grade, it would be fair for most, if not all, students.

E) E is correct because of percentages. Let me show you.

6th Grade | 150 Total Students | 50 Students Vote | 33.3% of 150 is 49.95. Round to the nearest whole to get 50.

7th Grade | 200 Total Students | 67 Students Vote | 33.3% of 200 is 66.6. Round to the nearest whole to get 67

8th Grade | 187 Total Students | 62 Students Vote | 33.3% of 187 is 62.271. Round to the nearest whole to get 62.

(C)

Step-by-step explanation:

A. The given fractions are:

Upon solving , we get

which is not possible, therefore this proportion does not show equivalence.

B.The given fractions are:

Upon solving , we get

which is not possible, therefore this proportion does not show equivalence.

C. The given fractions are:

Upon solving , we get

which satisfies the equivalence of two fractions, thus this is correct option.

D.The given fractions are:

which is not possible, therefore this proportion does not show equivalence.