At Uttara High school each student studies exactly one foreign languages. Three-fifth of the students take Spanish and one-fourth of the remaining students take take German. If all of the others take French, What percent of the students take French?
Created: 6 years ago |
Updated: 8 months ago
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- Let "T" be the total number of students at Uttara High school.
- Three-fifths (3/5) of the students take Spanish. So, the number of students taking Spanish is (3/5) * T.
- The remaining students don't take Spanish, which is (1 - 3/5) = (2/5) of the total students. So, the number of students not taking Spanish is (2/5) * T.
- One-fourth (1/4) of the remaining students take German, which is (1/4) * (2/5) * T = (1/10) * T.
- Now, the students taking French are the remaining students after Spanish and German are accounted for, which is (2/5) * T - (1/10) * T = (4/10) * T - (1/10) * T = (3/10) * T.
To find the percentage of students taking French, we'll calculate the ratio of students taking French to the total number of students (T) and then multiply by 100 to get the percentage:
Percentage of students taking French = [(3/10) * T / T] * 100
The "T" in the numerator and denominator cancels out:
Percentage of students taking French = (3/10) * 100 = 30%
So, 30% of the students at Uttara High school take French.
The correct answer is 30%.
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