document.write( "Question 104331: Having a terrible problem trying to solve this question:\r
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document.write( "The school board plans to merge two junior high schools into one school of 800 students in which 40% of the students will be Caucasian. One of the schools currently has 58% Caucasian students, the other has only 10 % Caucasian students. How many students are in each of the two schools?\r
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document.write( "Could it be that one school has 464 Caucasian students and the other school has 80 Caucasian students? \n" );
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Algebra.Com's Answer #75911 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The school board plans to merge two junior high schools into one school of 800 students in which 40% of the students will be Caucasian. One of the schools currently has 58% Caucasian students, the other has only 10 % Caucasian students. How many students are in each of the two schools? \n" ); document.write( "Could it be that one school has 464 Caucasian students and the other school has 80 Caucasian students? \n" ); document.write( "---------------------- \n" ); document.write( "1st school DATA: \n" ); document.write( "Let number of students = \"x\" ; # of whites = 0.58x \n" ); document.write( "--------------- \n" ); document.write( "2nd school DATA: \n" ); document.write( "Number of students = \"800-x\" ; # of whites = 0.10(800-x) = 80-0.10x \n" ); document.write( "---------------- \n" ); document.write( "Merged-school DATA: \n" ); document.write( "Number of students = 800 ; # of whites = 0.40(800)=320 \n" ); document.write( "------------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "white + white = white \n" ); document.write( "0.58x + 80-0.10x = 320 \n" ); document.write( "0.48x = 240 \n" ); document.write( "x = 500 (# of students from the school with 58% Caucasian) \n" ); document.write( "800-x=300 (# of students from the school with 10% Caucasian) \n" ); document.write( "=========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |