document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186670>Question 1186670</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Joe baked some custard tarts and fruit tarts. The ratio of the number of custard tarts to the number of fruit tarts was 5:4. After Joe sold 30 custard tarts and baked 96 more fruit tarts, the ratio of the number of custard tarts to fruit tarts was 1:2. How many custard tarts were left? </SPAN>\n" );
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document.write( "Virtually always, the easiest way to start on a problem like this given the ratio 5:4 is this:<br><BR>\n" );
document.write( "Let 5x = original number of custard tarts<BR>\n" );
document.write( "Let 4x = original number of fruit tarts<br><BR>\n" );
document.write( "Then 5x-30 = ending number of custard tarts<BR>\n" );
document.write( "and 4x+96 = ending number of fruit tarts<br><BR>\n" );
document.write( "In the end, the ratio of the number of custard tarts to the number of fruit tarts was 1:2<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x-30%29%2F%284x%2B96%29=1%2F2 ALIGN=MIDDLE  ALT=\"%285x-30%29%2F%284x%2B96%29=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%285x-30%29=1%284x%2B96%29 ALIGN=MIDDLE  ALT=\"2%285x-30%29=1%284x%2B96%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x-60=4x%2B96 ALIGN=MIDDLE  ALT=\"10x-60=4x%2B96\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x=156 ALIGN=MIDDLE  ALT=\"6x=156\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=26 ALIGN=MIDDLE  ALT=\"x=26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: The number of custard tarts at the end was 5x-30 = 5(26)-30 = 130-30 = 100<br><BR>\n" );
document.write( " </SPAN>\n" );
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