Question

In a survey, a group of students were asked to name their favorite subject. There were 20 students who chose "other" subjects. How many students participated MATH: 30% ENGLISH: 45%

Answer 1

other = 20 students which equals 25 percent, because math and english sum to 75 percent. if 25* 4 is 100, then you can do 20*4 to get 80, which is how many students participated

Answer 2

The total number of students who participated in the survey are 100.

Given to us

The number of students who choose other as their favorite subject = 20 students

Math = 30%

English = 45%

Let the total number of students in the survey be x.

What is the percentage of students who choose other as their favorite subject?

We know that percentage is always 100%, therefore,

Total number of students in the survey = other + Math +English

100% = other + 30% + 45%

100% - 30% - 45% = other

other = 25%

Thus, the percentage of students who choose another as their favorite subject is 25%.

What is the total number of students who participated in the survey?

We know that the number of students who choose English as their favorite subject in the surveys is 20, therefore,

25% of the total number of students = 20

$25\%\ of\ x = 20\\\\0.25 \times x = 20\\\\x =\dfrac{20}{0.25}\\\\x = 100$

Hence, the total number of students who participated in the survey is 100.

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