Math · easy

Of the students who chose the pep rally as their favorite assembly, what percentage are freshmen?

A school administrator surveyed a group of freshman and sophomore students about their preferred type of school assembly. The results are summarized in the table.

Grade Level	Guest Speaker	Pep Rally	Talent Show	Total
Freshman	15	60	25	100
Sophomore	35	20	45	100
Total	50	80	70	200

Of the students who chose the pep rally as their favorite assembly, what percentage are freshmen?

Answer & explanation

Correct answer: D. 75%

The question asks for the percentage of students who are freshmen · among those who chose the pep rally · . First, identify the total number of students who chose the pep rally. According to the table, this is 80 students. This will be the denominator of the fraction. Next, find the number of freshmen within this group. The table shows that 60 freshmen chose the pep rally. This will be the numerator. To find the percentage, calculate (60 / 80) · 100. The fraction 60/80 simplifies to 6/8, which further simplifies to 3/4. As a percentage, 3/4 is 75%.

A is incorrect because 25% is the percentage of students who are sophomores among those who chose the pep rally (20/80 = 1/4 = 25%). B is incorrect because 30% is the percentage of all students surveyed who are freshmen that prefer the pep rally (60/200 = 30%). C is incorrect because 60% is the percentage of all freshmen who prefer the pep rally (60/100 = 60%).

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Of the students who chose the pep rally as their favorite assembly, what percentage are freshmen?

Of the students who chose the pep rally as their favorite assembly, what percentage are freshmen?

Answer & explanation

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