document.write( "Question 1097978: 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? \n" ); document.write( "
Algebra.Com's Answer #712398 by Theo(13342)\"\" \"About 
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3/5 take spanish.\r
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\n" ); document.write( "\n" ); document.write( "1/4 of the remaining take german.\r
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\n" ); document.write( "\n" ); document.write( "remaining = 2/5.\r
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\n" ); document.write( "\n" ); document.write( "1/4 * 2/5 = 2/20 = 1/10\r
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\n" ); document.write( "\n" ); document.write( "remaining of 2/5 = 2/5 - 1/10 = 4/10 - 1/10 = 3/10.\r
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\n" ); document.write( "\n" ); document.write( "this makes sense since 2/5 = 4/10 and 1/4 of 4/10 = 1/10 and 3/4 of 4/10 = 3/10.\r
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\n" ); document.write( "\n" ); document.write( "therefore:\r
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\n" ); document.write( "\n" ); document.write( "3/5 take spanish.
\n" ); document.write( "1/10 take german.
\n" ); document.write( "3/10 take french.\r
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\n" ); document.write( "\n" ); document.write( "since 3/5 = 6/10, you get 6/10 + 1/10 + 3/10 = 10/10 = 1, so all students are accounted for.\r
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\n" ); document.write( "\n" ); document.write( "your solution is that 3/10 of the students take french.\r
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\n" ); document.write( "\n" ); document.write( "you can work it as a decimal and you should get the same answer.\r
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\n" ); document.write( "\n" ); document.write( "3/5 = .6\r
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\n" ); document.write( "\n" ); document.write( "2/5 = .4\r
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\n" ); document.write( "\n" ); document.write( "1/4 of .4 = .1\r
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\n" ); document.write( "\n" ); document.write( "3/4 of .4 = .3\r
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\n" ); document.write( "\n" ); document.write( ".6 taken spanish
\n" ); document.write( ".1 take german
\n" ); document.write( ".3 take french.\r
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\n" ); document.write( "\n" ); document.write( ".6 = 6/10
\n" ); document.write( ".1 = 1/10
\n" ); document.write( ".3 = 3/10\r
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\n" ); document.write( "\n" ); document.write( "same answer.\r
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