document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767542>Question 767542</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A survey conducted in a school showed that 65% of the students walked to school. The remaining students took buses to school. The ratio of students who took school buses to those who took public buses was 4:3. There were 360 more students who walked than who took buses. How many students took public buses to school? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467681 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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/cgi-bin/show-face.mpl?user=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=467681\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q:<BR>\n" );
document.write( "A survey conducted in a school showed that 65% of the students walked to school. The remaining students took buses to school. The ratio of students who took school buses to those who took public buses was 4:3. There were 360 more students who walked than who took buses. How many students took public buses to school?<BR>\n" );
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document.write( "A:<BR>\n" );
document.write( "Let x = number of students who took buses<BR>\n" );
document.write( "therefore, x + 360 = number of students who walked<BR>\n" );
document.write( "total number of students surveyed = x + (x + 360) = 2x + 360<BR>\n" );
document.write( "0.65(2x + 360) = x + 360<BR>\n" );
document.write( "1.3x + 234 = x + 360<BR>\n" );
document.write( "1.3x - x = 360 - 234<BR>\n" );
document.write( "0.3x = 126<BR>\n" );
document.write( "x = 126/0.3 = 420<BR>\n" );
document.write( "If 4k = number of students who took school buses, then<BR>\n" );
document.write( "3k = number of students who took public buses<BR>\n" );
document.write( "4k + 3k = 420<BR>\n" );
document.write( "7k = 420<BR>\n" );
document.write( "k = 420/7 = 60<BR>\n" );
document.write( "3k = 180<BR>\n" );
document.write( "ANSWER: The number of students who took public buses to school is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28180%29 ALIGN=MIDDLE  ALT=\"highlight%28180%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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