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<div style="text-align: justify;"><font size="4"><span style="font-family: times new roman,times,serif; font-style: italic;">Si un número disminuye en un </span><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#a«/mi»«mo»%«/mo»«/math»</span><span style="font-family: times new roman,times,serif; font-style: italic;"> resulta </span><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#b«/mi»«/math»</span><span style="font-family: times new roman,times,serif; font-style: italic;">. Entonces, el número es: </span></font><font class="Apple-style-span" face="verdana, arial, helvetica, sans-serif" size="4" style="font-family: times new roman,times,serif; font-style: italic;"><font class="Apple-style-span" color="#666666">{1:SA:=\#sol#¡Muy bien! Sigue así}<br /><br /><span style="color: rgb(153, 0, 0);">Obs.: Ingresa el resultado sin punto ni coma.</span><br /><br /></font></font></div>
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<div style="text-align: justify; font-family: times new roman,times,serif;"><font size="4" style="font-style: italic;">Solución:</font><br /><br /><font size="4" style="font-style: italic;">Para resolver debemos darnos cuenta que si disminuimos el <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#a«/mi»«mo»%«/mo»«/math»</span>, entonces <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#b«/mi»«/math»</span> corresponde al <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#c«/mi»«mo»%«/mo»«/math»</span>. Luego, podemos ordenar los datos en la siguiente tabla:</font><br /> <div style="text-align: center;"><br /></div></div> <table style="width: 568px; height: 102px; text-align: left; font-family: times new roman,times,serif; font-style: italic; margin-right: 0px; margin-left: 0px;" border="2"><tbody> <tr> <td width="50%" valign="top" style="text-align: center;"> <div style="text-align: center;"><font size="4">Porcentaje</font><br /></div> </td> <td width="50%" valign="top" style="text-align: center;"><font size="4">Número<br /></font> </td> </tr> <tr> <td width="50%" valign="top" style="text-align: center;"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mn»100«/mn»«mo»%«/mo»«/math»</span><br /></font> </td> <td width="50%" valign="top" style="text-align: center;"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«/math»</span><br /></font> </td> </tr> <tr> <td width="50%" valign="top" style="text-align: center;"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#c«/mi»«mo»%«/mo»«/math»</span><br /></font> </td> <td width="50%" valign="top" style="text-align: center;"><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#b«/mi»«/math»</span><br /></font> </td> </tr></tbody> </table> <div style="text-align: justify; font-family: times new roman,times,serif;"> <div style="text-align: center;"><br /></div><font size="4" style="font-style: italic;">Como los porcentajes corresponden a variaciones directamente proporcionales, podemos resolver aplicando el teorema fundamental de las proporciones.</font><br /><br /><font size="4" style="font-style: italic;">Entonces, <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«mo»=«/mo»«mfrac»«mrow»«mn»100«/mn»«mo»·«/mo»«mi»#b«/mi»«/mrow»«mrow»«mi»#c«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mi»#sol«/mi»«/math»</span></font><br /><font size="4" style="font-style: italic;"><br style="font-family: times new roman,times,serif;" /><span style="font-family: times new roman,times,serif;">Por lo tanto, si a </span><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#sol«/mi»«/math»</span><span style="font-family: times new roman,times,serif;"> </span><span style="font-family: times new roman,times,serif;">lo disminuimos en un </span></font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#a«/mi»«mo»%«/mo»«/math»</span> resulta </font><font size="4" style="font-family: times new roman,times,serif; font-style: italic;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#b«/mi»«/math»</span>.</font></div>
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