document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184922>Question 1184922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Gary bought 3/5 as many apples as oranges from the supermarket. He gave away 6 apples and 26 oranges. He then had 3/4 as many apples left as oranges. How many apples and oranges did Gary buy altogether? </SPAN>\n" );
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document.write( "You might set this problem up for solving by letting x be the number of oranges, making the number of apples (3/5)x.  If you are careful you should end up with the right answer.<br><BR>\n" );
document.write( "I would prefer setting the problem up without fractions at the very beginning.  So I would do this:<br><BR>\n" );
document.write( "let 5x = # of oranges<BR>\n" );
document.write( "let 3x = # of apples<br><BR>\n" );
document.write( "Then 5x-26 is the number of oranges he ends up with; and 3x-6 is the number of apples he ends up with.<br><BR>\n" );
document.write( "The number of apples he ends up with is 3/4 the number of oranges he ends up with:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-6=%283%2F4%29%285x-26%29 ALIGN=MIDDLE  ALT=\"3x-6=%283%2F4%29%285x-26%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%283x-6%29=3%285x-26%29 ALIGN=MIDDLE  ALT=\"4%283x-6%29=3%285x-26%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x-24=15x-78 ALIGN=MIDDLE  ALT=\"12x-24=15x-78\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54=3x ALIGN=MIDDLE  ALT=\"54=3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=18 ALIGN=MIDDLE  ALT=\"x=18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: The total number of apples and oranges he bought was 5x+3x = 8x = 8*18 = 144<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "oranges: started with 5x=90; gave away 26, ending with 64<BR>\n" );
document.write( "apples: started with 3x=54; gave away 6, ending with 48<BR>\n" );
document.write( "48/64 = 3/4<br>\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
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