document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104331>Question 104331</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Having a terrible problem trying to solve this question:\r<BR>\n" );
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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<BR>\n" );
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document.write( "Could it be that one school has 464 Caucasian students and the other school has 80 Caucasian students? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #75913 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=75913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First. let's find the number of caucasian students in the new school.<BR>\n" );
document.write( "C = 40% of 800<BR>\n" );
document.write( "C = 0.4(800)<BR>\n" );
document.write( "C = 320 This is the total number of caucasian students in the new school and you know that this number is made up of 58% of the students from one of the old schools, (so let's call this 58% of x where x is the number of students in this scool) plus 10% of the students in the second school (let's call this 10% of y where y is the number of students in this school).<BR>\n" );
document.write( "We can write an equation, but first,realise that x+y = 800 or we can write this as:<BR>\n" );
document.write( "y = 800-x  Here's the equation we need to solve for x, the number of students in the first school:<BR>\n" );
document.write( "1) 0.58x + 0.1(800-x) = 320 The sum of the caucasian students in the old schools is 40% of the total student in the new school or (0.4(800) = 320).<BR>\n" );
document.write( "Simplify equation 1) and solve for x.<BR>\n" );
document.write( "0.58x + 80 - 0.1x = 320<BR>\n" );
document.write( "0.48x = 240<BR>\n" );
document.write( "x = 500 This the number of students in the first school.<BR>\n" );
document.write( "800-x = 800-500 = 300 This is the number of students in the second school.\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "58% of 500 + 10% of 300 = 290 + 30 = 320 </SPAN>\n" );
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