document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=668524>Question 668524</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help, this one stumps me. Thank you to anyone willing to give it a shot.\r<BR>\n" );
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document.write( "One apple has 100 calories and 24 grams of carbohydrates. One avocado has 350 calories and 14 grams of carbohydrates. How many of each should be eaten to get exactly 1000 calories and 100 grams of carbohydrates? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #415660 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=415660\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Please help, this one stumps me. Thank you to anyone willing to give it a shot.\r<BR>\n" );
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document.write( "One apple has 100 calories and 24 grams of carbohydrates. One avocado has 350 calories and 14 grams of carbohydrates. How many of each should be eaten to get exactly 1000 calories and 100 grams of carbohydrates?\r<BR>\n" );
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document.write( "Let amount of apples to be eaten be A, and avocados, P<BR>\n" );
document.write( "Calories equation: 100A + 350P = 1,000 --- 50(2A + 7P) = 50(20) --- 2A + 7P = 20 -- eq (i)<BR>\n" );
document.write( "Carbohydrates equation: 24A + 14P = 100 --- 2(12A + 7P) = 2(50) --- 12A + 7P = 50 -- eq (ii) <BR>\n" );
document.write( "– 10A = – 30 ------- Subtracting eq (ii) from eq (i)\r<BR>\n" );
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document.write( "A, or amount of apples to consume = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-+30%29%2F-+10 ALIGN=MIDDLE  ALT=\"%28-+30%29%2F-+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%283%29 ALIGN=MIDDLE  ALT=\"highlight_green%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2(3) + 7P = 20 ------- Substituting 3 for A in eq (i)<BR>\n" );
document.write( "6 + 7P = 20<BR>\n" );
document.write( "7P = 14\r<BR>\n" );
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document.write( "P, or amount of avocados to consume = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F7 ALIGN=MIDDLE  ALT=\"14%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%282%29 ALIGN=MIDDLE  ALT=\"highlight_green%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com </SPAN>\n" );
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