document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174452>Question 174452</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618595554/algebrahomeworkh>Algebra 2, Texas Edition</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> As a participant in your school's community service project, you volunteer a total of 40 hours over the course of the school year. Your volunteer hours include serving at a soup kitchen, picking up trash at several local parks, and collecting toys for needy children. You spend 4 times as many hours collecting toys as picking up trash, and 2 hours less serving at the soup kitchen than picking up trash.<BR>\n" );
document.write( "1. Write a system of equations to represent the given information and solve using the substitution method. <BR>\n" );
document.write( "Please help and try to show every bit of work that you can to help me better understand the problem, Thank You! =) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129439 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=129439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As a participant in your school's community service project, you volunteer a total of 40 hours over the course of the school year. Your volunteer hours include serving at a soup kitchen, picking up trash at several local parks, and collecting toys for needy children. You spend 4 times as many hours collecting toys as picking up trash, and 2 hours less serving at the soup kitchen than picking up trash.<BR>\n" );
document.write( "1. Write a system of equations to represent the given information and solve using the substitution method.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let x = hours spent picking up trash<BR>\n" );
document.write( "then from: \"You spend 4 times as many hours collecting toys as picking up trash\"<BR>\n" );
document.write( "4x = hours collecting toys<BR>\n" );
document.write( "and from: \"2 hours less serving at the soup kitchen than picking up trash\"<BR>\n" );
document.write( "x-2 = hours serving at the soup kitchen<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Then because the total volunteer hours were 40:<BR>\n" );
document.write( "40 = (x) + (4x) + (x-2)<BR>\n" );
document.write( "40 = x + 4x + x - 2<BR>\n" );
document.write( "40 = 6x - 2<BR>\n" );
document.write( "42 = 6x<BR>\n" );
document.write( "7 hours = x (time picking up trash)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "collecting toys:<BR>\n" );
document.write( "4x = 4(7) = 28 hours<BR>\n" );
document.write( ".<BR>\n" );
document.write( "soup kitchen:<BR>\n" );
document.write( "x-2 = 7-2 = 5 hours\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );