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%
other = 20 students which equals 25 percent, because math and english sum to 75 percent. if 25 4 is 100, then you can do 204 to get 80, which is how many students participated
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.
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%.
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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