document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206744>Question 1206744</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "In march 2008 Benny increased his expenditure by 1/4 Joyce decreased hers by $20 an ah seng decreased his by 50%. They now spent the same amount of money. If they spent $590 in February 2008 how much did Benny spend in march 2008.<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 #844372 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=844372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let x be the amount Benny spent in February; then the amount he spent in March was (5/4)x.<br><BR>\n" );
document.write( "Let y be the amount Joyce spent in February; then the amount she spent in March was y-20.<br><BR>\n" );
document.write( "Let z be the amount Ahseng spent in February; then the amount he spent in March was (1/2)x.<br><BR>\n" );
document.write( "The amounts they spent in March were all the same.<br><BR>\n" );
document.write( "Knowing the amounts they spent in March were the same, express the amounts they spent in March in terms of a single variable.  Arbitrarily, we can choose to represent all the amounts in terms of x.<br><BR>\n" );
document.write( "Benny: (5/4)x<br><BR>\n" );
document.write( "Joyce:<BR>\n" );
document.write( "(5/4)x=y-20<BR>\n" );
document.write( "y=(5/4)x+20<br><BR>\n" );
document.write( "Ahseng:<BR>\n" );
document.write( "(5/4)x=(1/2)z<BR>\n" );
document.write( "z=(5/2)x<br><BR>\n" );
document.write( "The total they spent in February was $590:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2Bz=590 ALIGN=MIDDLE  ALT=\"x%2By%2Bz=590\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%28%285%2F4%29x%2B20%29%2B%28%285%2F2%29x%29=590 ALIGN=MIDDLE  ALT=\"x%2B%28%285%2F4%29x%2B20%29%2B%28%285%2F2%29x%29=590\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply by 4 to clear fractions:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B5x%2B80%2B10x=2360 ALIGN=MIDDLE  ALT=\"4x%2B5x%2B80%2B10x=2360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19x=2280 ALIGN=MIDDLE  ALT=\"19x=2280\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2280%2F190=120 ALIGN=MIDDLE  ALT=\"x=2280%2F190=120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: The amount Benny spent in March was (5/4)x = $150.<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "Benny: February x=$120  March (5/4)x=$150<BR>\n" );
document.write( "Joyce: February (5/4)x+20 = $170  March $170-$20=$150<BR>\n" );
document.write( "Ahseng: February (5/2)x=$300  March (1/2)$300=$150<br><BR>\n" );
document.write( "The March amounts are the same<br><BR>\n" );
document.write( "The February total is $120+$170+$300 = $590<br><BR>\n" );
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