At Madison High School each student studies exactly one foreign language. Three-fifths of the students take Spanish, and one-fourth of the remaining students take German. If all of the others take French, what ­percent of the students take French?
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Ben
30%



Start off with 100%. Now, subtract 3/5, or 60%, to get 40%.

Take 1/4, or 25%, of 40% away. This means you subtract another 10% from 40%, leaving 30%. There’s the answer.



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A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%. The ­percent of the students who took French is 30%.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that Three-fifths of the students take Spanish, and one-fourth of the remaining students take German. Therefore, the number of students who took french is,

Number of students who took french = 1 - 3/5 - (2/5 × 1/4)

                                                              = 1 -0.6 -0.1

                                                              = 0.3

                                                              = 30%

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