document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=402070>Question 402070</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volumes of 3 balloons are in the ratio 5:6:7. By what fractions of themselves must the first two be increased so that the ratio of the volumes may be changed to 7:6:5? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #284477 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=284477\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The volumes of 3 balloons are in the ratio 5:6:7.<BR>\n" );
document.write( "Let the vol. of the balloons be 5, 6 and 7L respectively<BR>\n" );
document.write( "The vol of the last balloon will be unchanged and will be 5/18 of the total volume after the first 2 are inflated more.<BR>\n" );
document.write( "5x/18=7 for the 3rd balloon after the 1st 2 have their volumes increased<BR>\n" );
document.write( "x=25.2<BR>\n" );
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document.write( "6*25.2/18=8.4L new vol of the 2nd balloon.\r<BR>\n" );
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document.write( "7*25.2/18=9.8L new vol of the 1st balloon.<BR>\n" );
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document.write( "Fraction of themselves the 1st two must be increased so that the ratio of the volumes may be changed to 7:6:5<BR>\n" );
document.write( "8.4/6 = 7/5<BR>\n" );
document.write( "9.8/5 = 49/25<BR>\n" );
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document.write( "Ed </SPAN>\n" );
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