document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195103>Question 1195103</A>: <I><SPAN STYLE=\"word-break: break-all;\"> John had a total of 319 blue and red envelopes. If 1/3 the number of blue envelopes was the same as 2/5 the number of red envelopes, how many blue envelopes did he have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #827481 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=827481\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Rewrite the fractions with a common denominator:  1/3 = 5/15 of the number of blue envelopes is the same as 2/5 = 6/15 of the red envelopes.<br><BR>\n" );
document.write( "That means the ratio of blue envelopes to red envelopes is 6:5.<br><BR>\n" );
document.write( "So let the numbers of blue and red envelopes be 6x and 5x, respectively; then the total of 319 envelopes is 6x+5x=11x.<br><BR>\n" );
document.write( "11x = 319<BR>\n" );
document.write( "x = 319/11 = 29<br><BR>\n" );
document.write( "ANSWER: The number of blue envelopes is 6x = 6*29 = 174<br><BR>\n" );
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