document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=145062>Question 145062</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the ratio of the number of Grace's Lego bricks to the number of Bobby's Lego bricks was 5:2. the ratio became 9:19 when Grace gave Bobby 220 bricks.\r<BR>\n" );
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document.write( "a)how many lego bricks had Bobby at first?\r<BR>\n" );
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document.write( "b)what fraction of Bobby's lego bricks was from Grace? (give answer in simplest form)\r<BR>\n" );
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document.write( "*pls try not to use algebra </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105756 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=105756\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well, we have to use a variable \"x\" here to represent the unknown. And what is that unknown, the number of lego bricks right? So remember \"x\" = no. of lego bricks.<BR>\n" );
document.write( "1st condition, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%3A2%29+or+%285%2F2%29 ALIGN=MIDDLE  ALT=\"%285%3A2%29+or+%285%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Meaning for every 5 lego brick Grace has, Bobby has 2 lego brick right?<BR>\n" );
document.write( "2nd condition, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%3A19%29+or+%289%2F19%29 ALIGN=MIDDLE  ALT=\"%289%3A19%29+or+%289%2F19%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We only satisfy this condition if Grace gave Bobby 220 bricks. Therefore our eqn will revolve on this condition. <BR>\n" );
document.write( "Since the # of bricks is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22x%22 ALIGN=MIDDLE  ALT=\"%22x%22\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Grace total will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22x-220%22 ALIGN=MIDDLE  ALT=\"%22x-220%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > and Bobby's total will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22x%2B220%22 ALIGN=MIDDLE  ALT=\"%22x%2B220%22\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Putting this into equation, the 2nd condition with the new total no. of bricks for both in solving question (a):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2F19%29+=+%28x-220%29%2F%28x%2B220%29 ALIGN=MIDDLE  ALT=\"%289%2F19%29+=+%28x-220%29%2F%28x%2B220%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---------- 3rd condition<BR>\n" );
document.write( "re arranging,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28x%2B220%29+=+19%28x-220%29 ALIGN=MIDDLE  ALT=\"9%28x%2B220%29+=+19%28x-220%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%2B1980+=+%2819x%29+-+4180 ALIGN=MIDDLE  ALT=\"9x%2B1980+=+%2819x%29+-+4180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810x%29=1980%2B4180 ALIGN=MIDDLE  ALT=\"%2810x%29=1980%2B4180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=616 ALIGN=MIDDLE  ALT=\"x=616\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This will be the original number of lego bricks that Bobby has.<BR>\n" );
document.write( "In doubt? Go back condition 2, and substitute \"x\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2F19%29+=+%28616-220%29%2F%28616%2B220%29 ALIGN=MIDDLE  ALT=\"%289%2F19%29+=+%28616-220%29%2F%28616%2B220%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2F19%29+=+%28396%2F836%29 ALIGN=MIDDLE  ALT=\"%289%2F19%29+=+%28396%2F836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...note, factor out or divide both 396 & 836 by 44<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2F19%29+=+%289%2F19%29 ALIGN=MIDDLE  ALT=\"%289%2F19%29+=+%289%2F19%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The new # of bricks bobby has is 836, minus 220 given equals 616, got it?<BR>\n" );
document.write( "For question (b), # of bricks given/ total # of bricks <BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=220%2F836 ALIGN=MIDDLE  ALT=\"220%2F836\"   DISABLED_style= \"max-width:90%; height:auto;\" > (divide both 220 & 836 by 4)<BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55%2F209 ALIGN=MIDDLE  ALT=\"55%2F209\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This is how much fraction Bobby's lego bricks that came from Grace.<BR>\n" );
document.write( "Or 26.32% of Bobby's # of bricks came from Grace.<BR>\n" );
document.write( "(55/2090(100%) = 26.32%<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><font size=4=indigo><b>Thank you,\r\n" );
document.write( "Jojo</PRE>\r<BR>\n" );
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