document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=272114>Question 272114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. one number is 5 more than 3 times another number. The sum of the two numbers is 157. Find the bigger number.<BR>\n" );
document.write( "2. Robert can paint a room in 12 hours. His helper can do the same work in 24 hours. How long will it take them to paint the room together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199118 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=199118\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. one number is 5 more than 3 times another number. The sum of the two numbers is 157. Find the bigger number.<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "a = 3b + 5<BR>\n" );
document.write( "a + b = 157<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Substitute for \"a\" and solve for \"b\":<BR>\n" );
document.write( "3b + 5 + b = 157<BR>\n" );
document.write( "4b + 5 = 157<BR>\n" );
document.write( "4b = 152<BR>\n" );
document.write( "b = 38<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Since a = 3b+5, a = 3*38+5 = 119<BR>\n" );
document.write( "------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "2. Robert can paint a room in 12 hours. His helper can do the same work in 24 hours. How long will it take them to paint the room together?<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Robert rate = 1/12 job/hr/<BR>\n" );
document.write( "Helper rate = 1/24 job/hr<BR>\n" );
document.write( "Together rate = 1/x job hr<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/12 + 1/24 = 1/x<BR>\n" );
document.write( "Multiply thru by 24x to get:<BR>\n" );
document.write( "2x + x = 24<BR>\n" );
document.write( "3x = 24<BR>\n" );
document.write( "x = 8 hrs (time to do the job together)<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );