document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1143247>Question 1143247</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of how many peas Julia has to how many peas Vlada has was 3:2. After Julia gave Vlada 15 peas, she still had 10 more peas than Vlada. How many peas did Julia have at first?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #764024 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=764024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> j = number of peas that julia has.<BR>\n" );
document.write( "v = number of peas that vlada has.\r<BR>\n" );
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document.write( "j/v = 3/2<BR>\n" );
document.write( "solve for j to get j = 3/2 * v\r<BR>\n" );
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document.write( "after julia gave vlada 15 peas, julia still had 10 more peas than vlada.<BR>\n" );
document.write( "equation for that is:<BR>\n" );
document.write( "j - 15 = (v + 15) + 10.<BR>\n" );
document.write( "combine like terms to get j - 15 = v + 25.<BR>\n" );
document.write( "add 15 to both sides of this equation to get j = v + 25 + 15.<BR>\n" );
document.write( "combine like terms to get j = v + 40.\r<BR>\n" );
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document.write( "in the equation of j = 3/2 * v, replace j with v + 40 to get v + 40 = 3/2 * v.<BR>\n" );
document.write( "subtract v from both sides of this equation to get 40 = 3/2 * v - v<BR>\n" );
document.write( "simplify to get 40 = 1/2 * v<BR>\n" );
document.write( "multiply both sides of this equation by 2 and solve for v to get v = 80.\r<BR>\n" );
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document.write( "you have v = 80<BR>\n" );
document.write( "you have j = 3/2 * v.<BR>\n" );
document.write( "replace v with 80 to get j = 3/2 * 80<BR>\n" );
document.write( "solve for j to get j = 120.\r<BR>\n" );
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document.write( "you have j = 120 and v = 80<BR>\n" );
document.write( "j/v = 120/80 = 3/2, which confirms the original ratio is correct.\r<BR>\n" );
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document.write( "julia had 120 peas at first.<BR>\n" );
document.write( "this is your solution.\r<BR>\n" );
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document.write( "to confirm the rest of the probelm, julia gives vlada 15 peas.<BR>\n" );
document.write( "now julia has 105 and vlada has 95.<BR>\n" );
document.write( "julia still has 10 more peas than vlada.<BR>\n" );
document.write( "the rest of the problem is confirmed to be true.\r<BR>\n" );
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