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<font size="4"><span style="font-family: times new roman,times,serif; font-style: italic;">a) ¿ Qué porcentaje de </span><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#p1«/mi»«/math»</span><span style="font-family: times new roman,times,serif; font-style: italic;"> es </span><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#q1«/mi»«/math»</span><span style="font-family: times new roman,times,serif; font-style: italic;"> ?</span><br style="font-family: times new roman,times,serif;" /></font><font class="Apple-style-span" size="4" style="font-family: times new roman,times,serif;"><font class="Apple-style-span" color="#666666">{1:SA:=\#sol1#¡Excelente!}</font></font><font size="4"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»%«/mo»«/math»</span><br style="font-family: times new roman,times,serif; font-style: italic;" /><br style="font-family: times new roman,times,serif; font-style: italic;" /><span style="font-family: times new roman,times,serif; font-style: italic;">b) ¿ Qué porcentaje es </span><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#q2«/mi»«/math»</span><span style="font-family: times new roman,times,serif; font-style: italic;"> de </span><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#p2«/mi»«/math»</span><span style="font-family: times new roman,times,serif; font-style: italic;"> ?<br /></span></font><font class="Apple-style-span" size="4" style="font-family: times new roman,times,serif;"><font class="Apple-style-span" color="#666666">{1:SA:=\#sol2#¡Excelente!}</font></font><font size="4"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»%«/mo»«/math»</span></font><br style="font-family: times new roman,times,serif;" /><font size="4"><br style="font-family: times new roman,times,serif;" /><span style="color: rgb(153, 0, 0); font-family: times new roman,times,serif; font-style: italic;">Obs.: Para separar decimales utiliza punto en vez de coma.</span></font><br /><br />
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<font size="4" style="font-family: times new roman,times,serif; font-style: italic;">Solución<br /><br />a) </font><span style="font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;">Podemos interpretar este ejercicio de la siguiente forma:<br /><br /></span></font></span> <div style="text-align: center;"><span style="font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;">El <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«mo»%«/mo»«/math»</span> de <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#p1«/mi»«/math»</span> es <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#q1«/mi»«/math»</span></span></font></span><br /> <div style="text-align: justify;"><br /><font size="4" style="font-family: times new roman,times,serif; font-style: italic;">Además, resolveremos mediante proporcion directa.</font><br /></div><span style="font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;"></span></font></span></div><span style="font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;"><br /></span></font></span> <div style="text-align: center; font-family: times new roman,times,serif; font-style: italic;"><font size="4"> <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable»«mtr»«mtd»«mi»C«/mi»«mi»a«/mi»«mi»n«/mi»«mi»t«/mi»«mi»i«/mi»«mi»d«/mi»«mi»a«/mi»«mi»d«/mi»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mi»P«/mi»«mi»o«/mi»«mi»r«/mi»«mi»c«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»a«/mi»«mi»j«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mo»(«/mo»«mo»%«/mo»«mo»)«/mo»«/mtd»«/mtr»«mtr»«mtd»«mi»#p1«/mi»«/mtd»«mtd»«mo»§#8594;«/mo»«/mtd»«mtd»«mn»100«/mn»«mo»§nbsp;«/mo»«mo»%«/mo»«/mtd»«/mtr»«mtr»«mtd»«mi»#q1«/mi»«/mtd»«mtd»«mo»§#8594;«/mo»«/mtd»«mtd»«mi»x«/mi»«mo»§nbsp;«/mo»«mo»%«/mo»«/mtd»«/mtr»«/mtable»«/math»</span><br /></font> <div style="text-align: left;"><font size="4"><font size="4"><span style="font-family: times new roman,times,serif;">Lo anterior es :</span></font><br /></font> <div style="text-align: center;"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfrac»«mrow»«mi»#p1«/mi»«/mrow»«mrow»«mi»#q1«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mn»100«/mn»«mi»x«/mi»«/mfrac»«/math»</span><br /></font> <div style="text-align: justify;"><font size="4">Por teorema fundamental de las proporciones tenemos:<br /><br /></font> <div style="text-align: center;"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»x«/mi»«mo»=«/mo»«mfrac»«mrow»«mi»#q1«/mi»«mo»·«/mo»«mn»100«/mn»«/mrow»«mrow»«mi»#p1«/mi»«/mrow»«/mfrac»«mo»§nbsp;«/mo»«mo»%«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»=«/mo»«mi»#sol1«/mi»«mo»§nbsp;«/mo»«mo»%«/mo»«/mtd»«/mtr»«/mtable»«/math»</span><br /><br /></font></div></div></div></div></div><font size="4" style="font-family: times new roman,times,serif; font-style: italic;">Por lo tanto </font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;">el <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#sol1«/mi»«mo»§nbsp;«/mo»«mo»%«/mo»«/math»</span> de <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#p1«/mi»«/math»</span> es <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#q1«/mi»«/math»</span>.<br /><br />b)</font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;"> </font><span style="font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;">Podemos interpretar este ejercicio de la siguiente forma:<br /><br /></span></font></span> <div style="text-align: center;"><span style="font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;">El <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«mo»%«/mo»«/math»</span> de <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#p2«/mi»«/math»</span> es <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#q2«/mi»«/math»</span></span></font></span><br /> <div style="text-align: justify;"><br /><font size="4" style="font-family: times new roman,times,serif; font-style: italic;">Además, resolveremos mediante proporcion directa.</font><br /></div><span style="font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;"></span></font></span></div><span style="font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;"><br /></span></font></span> <div style="text-align: center; font-family: times new roman,times,serif; font-style: italic;"><font size="4"> <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable»«mtr»«mtd»«mi»C«/mi»«mi»a«/mi»«mi»n«/mi»«mi»t«/mi»«mi»i«/mi»«mi»d«/mi»«mi»a«/mi»«mi»d«/mi»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mi»P«/mi»«mi»o«/mi»«mi»r«/mi»«mi»c«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mi»a«/mi»«mi»j«/mi»«mi»e«/mi»«mo»§nbsp;«/mo»«mo»(«/mo»«mo»%«/mo»«mo»)«/mo»«/mtd»«/mtr»«mtr»«mtd»«mi»#p2«/mi»«/mtd»«mtd»«mo»§#8594;«/mo»«/mtd»«mtd»«mn»100«/mn»«mo»§nbsp;«/mo»«mo»%«/mo»«/mtd»«/mtr»«mtr»«mtd»«mi»#q2«/mi»«/mtd»«mtd»«mo»§#8594;«/mo»«/mtd»«mtd»«mi»x«/mi»«mo»§nbsp;«/mo»«mo»%«/mo»«/mtd»«/mtr»«/mtable»«/math»</span><br /></font> <div style="text-align: left;"><font size="4"><font size="4"><span style="font-family: times new roman,times,serif;">Lo anterior es :</span></font><br /></font> <div style="text-align: center;"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfrac»«mrow»«mi»#p2«/mi»«/mrow»«mrow»«mi»#q2«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mn»100«/mn»«mi»x«/mi»«/mfrac»«/math»</span><br /></font> <div style="text-align: justify;"><font size="4">Por teorema fundamental de las proporciones tenemos:<br /><br /></font> <div style="text-align: center;"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»x«/mi»«mo»=«/mo»«mfrac»«mrow»«mi»#q2«/mi»«mo»·«/mo»«mn»100«/mn»«/mrow»«mrow»«mi»#p2«/mi»«/mrow»«/mfrac»«mo»§nbsp;«/mo»«mo»%«/mo»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«mo»=«/mo»«mi»#sol2«/mi»«mo»§nbsp;«/mo»«mo»%«/mo»«/mtd»«/mtr»«/mtable»«/math»</span><br /><br /></font></div></div></div></div></div><font size="4" style="font-family: times new roman,times,serif; font-style: italic;">Por lo tanto </font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;">el <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#sol2«/mi»«mo»§nbsp;«/mo»«mo»%«/mo»«/math»</span> de <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#p2«/mi»«/math»</span> es <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#q2«/mi»«/math»</span>.</font><br />
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