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Solved on Nov 06, 2023

Find the number of students who chose Drama, Other, or Historical genres from a college with 15,000 students, given the percentages: 27%27\% Drama, 23%23\% Other, and 20%20\% Historical.

STEP 1

Assumptions1. The total number of students is15,000. The percentage of students who chose Drama is27%
3. The percentage of students who chose Other is23%
4. The percentage of students who chose Historical is20%
5. The percentages are out of the total number of students

STEP 2

First, we need to find the number of students who chose Drama. We can do this by multiplying the total number of students by the percentage who chose Drama.
rama students=Total studentstimesPercentage who chose Dramarama\, students = Total\, students \\times Percentage\, who\, chose\, Drama

STEP 3

Now, plug in the given values for the total number of students and the percentage who chose Drama to calculate the number of Drama students.
rama students=15,000times27%rama\, students =15,000 \\times27\%

STEP 4

Convert the percentage to a decimal value.
27%=0.2727\% =0.27rama students=15,000times0.27rama\, students =15,000 \\times0.27

STEP 5

Calculate the number of Drama students.
rama students=15,000times0.27=4,050rama\, students =15,000 \\times0.27 =4,050

STEP 6

Repeat the same process to find the number of students who chose Other and Historical.
Other students=Total studentstimesPercentage who chose OtherOther\, students = Total\, students \\times Percentage\, who\, chose\, OtherOther students=15,000times23%=15,000times0.23=3,450Other\, students =15,000 \\times23\% =15,000 \\times0.23 =3,450Historical students=Total studentstimesPercentage who chose HistoricalHistorical\, students = Total\, students \\times Percentage\, who\, chose\, HistoricalHistorical students=15,000times20%=15,000times0.20=3,000Historical\, students =15,000 \\times20\% =15,000 \\times0.20 =3,000

STEP 7

Now that we have the number of students who chose Drama, Other, and Historical, we can add these numbers together to find the total number of students who chose one of these three genres.
Total students=Drama students+Other students+Historical studentsTotal\, students = Drama\, students + Other\, students + Historical\, students

STEP 8

Plug in the values for the number of Drama, Other, and Historical students to calculate the total number.
Total students=4,050+3,450+3,000Total\, students =4,050 +3,450 +3,000

STEP 9

Calculate the total number of students who chose Drama, Other, or Historical.
Total students=4,050+3,450+3,000=,500Total\, students =4,050 +3,450 +3,000 =,500So,,500 students chose Drama, Other, or Historical.

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