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[SPAM] Re: [obm-l] Porcentagem



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This is a multi-part message in MIME format.

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	charset="iso-8859-1"
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 O pessoal da lista que me corrija se estiver errada.
 Aline, tamb=E9m n=E3o consegui resolver a quest=E3o 1, espero a =
solu=E7=E3o dos colegas.

Mas a=ED vai a 2:

Se d =E9 o n=FAmero de litros de leite desnatado e i o n=FAmero de =
litros de leite integral, ent=E3o:

Relativo =E0 gordura -> 0,02d + 0,05i =3D 0,18      (0,18 =E9 3% de 6 =
litros - usando regra de 3)
Relativo ao total de leite -> d + i =3D 6

Resolvendo o sistema temos que:
Da 1=AA equa=E7=E3o -> 5i =3D 18 - 2d
Da 2=AA equa=E7=E3o -> 5i =3D 30 - 5i
E 18 - 2d =3D 30 - 5i   -> 3d =3D 12 -> d=3D4

Portanto, letra E, o n=FAmero de litros de leite desnatado =E9 4.

Tamb=E9m era poss=EDvel fazer a equa=E7=E3o relativa a parte do leite =
que n=E3o tem gordura que seria d - 0,02d + i - 0,05i =3D 6, mas d=E1 na =
mesma.

Acho que =E9 isso.
Abra=E7oos.
  ----- Original Message -----=20
  From: Aline=20
  To: obm-l=20
  Sent: Wednesday, November 07, 2007 5:57 PM
  Subject: [obm-l] Porcentagem






  Outras duas quest=F5es que estou com d=FAvidas s=E3o:



  Se, ao diminuirmos o pre=E7o de certo produto de p% e, em seguida, =
aumentarmos o novo pre=E7o do produto em q%, o pre=E7o volta a ser igual =
ao de antes da diminui=E7=E3o, qual =E9 o valor de 1/p - 1/q?

  A) 100

  B) 1/100

  C) 10

  D) 1/10

  E) 1

  =20

  =20

  Quantos litros de leite desnatado, com 2% de gordura, devem ser =
misturados com leite integral, com 5% de gordura, para se obter 6 litros =
de leite com 3% de

  gordura?

  A) 3,2 litros

  B) 3,4 litros

  C) 3,6 litros

  D) 3,8 litros

  E) 4 litros





  Fico agradecida.

  =20

------=_NextPart_000_0024_01C82182.738C9FC0
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML xmlns:o =3D "urn:schemas-microsoft-com:office:office" xmlns:st1 =
=3D=20
"urn:schemas-microsoft-com:office:smarttags"><HEAD>
<META http-equiv=3DContent-Type content=3D"text/html; =
charset=3Diso-8859-1">
<META content=3D"MSHTML 6.00.6000.16481" name=3DGENERATOR>
<STYLE></STYLE>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT face=3DArial size=3D2>&nbsp;O pessoal da lista que me corrija =
se estiver=20
errada.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>&nbsp;Aline, tamb=E9m n=E3o consegui =
resolver a quest=E3o=20
1, espero a solu=E7=E3o dos colegas.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial size=3D2>Mas a=ED vai a 2:</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial size=3D2>Se d =E9 o n=FAmero de litros de leite =
desnatado e i o=20
n=FAmero de litros de leite integral, ent=E3o:</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial size=3D2>Relativo =E0 gordura -&gt; 0,02d + =
0,05i =3D=20
0,18&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (0,18 =E9 3% de 6 litros - usando =
regra de=20
3)</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>Relativo ao total de leite -&gt; d + i =
=3D=20
6</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial size=3D2>Resolvendo o sistema temos =
que:</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>Da 1=AA equa=E7=E3o -&gt; 5i =3D 18 - =
2d</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>Da 2=AA equa=E7=E3o -&gt;&nbsp;5i =3D =
30 - 5i</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>E 18 - 2d =3D 30 - 5i&nbsp;&nbsp; -&gt; =
3d =3D 12 -&gt;=20
d=3D4</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial size=3D2>Portanto, letra E, o n=FAmero de litros =
de leite=20
desnatado =E9 4.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial size=3D2>Tamb=E9m era poss=EDvel fazer a =
equa=E7=E3o relativa&nbsp;a=20
parte do leite que n=E3o tem gordura que seria d - 0,02d + i - 0,05i =3D =
6, mas d=E1=20
na mesma.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT face=3DArial size=3D2>Acho que =E9 isso.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>Abra=E7oos.</FONT></DIV>
<BLOCKQUOTE dir=3Dltr=20
style=3D"PADDING-RIGHT: 0px; PADDING-LEFT: 5px; MARGIN-LEFT: 5px; =
BORDER-LEFT: #000000 2px solid; MARGIN-RIGHT: 0px">
  <DIV style=3D"FONT: 10pt arial">----- Original Message ----- </DIV>
  <DIV=20
  style=3D"BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: =
black"><B>From:</B>=20
  <A title=3Doliveira-aline1983@xxxxxxxxxx=20
  href=3D"mailto:oliveira-aline1983@xxxxxxxxxx";>Aline</A> </DIV>
  <DIV style=3D"FONT: 10pt arial"><B>To:</B> <A =
title=3Dobm-l@xxxxxxxxxxxxxx=20
  href=3D"mailto:obm-l@xxxxxxxxxxxxxx";>obm-l</A> </DIV>
  <DIV style=3D"FONT: 10pt arial"><B>Sent:</B> Wednesday, November 07, =
2007 5:57=20
  PM</DIV>
  <DIV style=3D"FONT: 10pt arial"><B>Subject:</B> [obm-l] =
Porcentagem</DIV>
  <DIV><BR></DIV>
  <DIV style=3D"FONT-SIZE: 12px; FONT-FAMILY: verdana, arial">
  <DIV>
  <P class=3DMsoNormal=20
  style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify; =
mso-layout-grid-align: none"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial"></SPAN><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial"></SPAN>&nbsp;</P>
  <P class=3DMsoNormal=20
  style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify; =
mso-layout-grid-align: none"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial"></SPAN>&nbsp;</P>
  <P class=3DMsoNormal=20
  style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify; =
mso-layout-grid-align: none"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial">Outras duas quest=F5es =
que estou com=20
  d=FAvidas s=E3o:</SPAN></P>
  <P class=3DMsoNormal=20
  style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify; =
mso-layout-grid-align: none"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial"></SPAN>&nbsp;</P>
  <P class=3DMsoNormal=20
  style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify; =
mso-layout-grid-align: none"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial">Se, ao diminuirmos o =
pre=E7o de=20
  certo produto de p% e, em seguida, aumentarmos o novo pre=E7o do =
produto em q%,=20
  o pre=E7o volta a ser igual ao de antes da diminui=E7=E3o, qual =E9 o =
valor de 1/p =96=20
  1/q?<o:p></o:p></SPAN></P>
  <P class=3DMsoNormal=20
  style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify; =
mso-layout-grid-align: none"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial">A) =
100<o:p></o:p></SPAN></P>
  <P class=3DMsoNormal=20
  style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify; =
mso-layout-grid-align: none"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial">B) =
1/100<o:p></o:p></SPAN></P>
  <P class=3DMsoNormal=20
  style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify; =
mso-layout-grid-align: none"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial">C) =
10<o:p></o:p></SPAN></P>
  <P class=3DMsoNormal=20
  style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify; =
mso-layout-grid-align: none"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial">D) =
1/10<o:p></o:p></SPAN></P>
  <P class=3DMsoNormal=20
  style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify; =
mso-layout-grid-align: none"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial">E) =
1<o:p></o:p></SPAN></P>
  <P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: =
justify"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: =
Arial"><o:p>&nbsp;</o:p></SPAN></P>
  <P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: =
justify"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: =
Arial"><o:p></o:p></SPAN>&nbsp;</P><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial"><o:p>
  <P class=3DMsoNormal=20
  style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify; =
mso-layout-grid-align: none"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial">Quantos litros de leite =
desnatado,=20
  com 2% de gordura, devem ser misturados com leite integral, com 5% de =
gordura,=20
  para se obter <st1:metricconverter ProductID=3D"6 litros" =
w:st=3D"on">6=20
  litros</st1:metricconverter> de leite com 3% de<o:p></o:p></SPAN></P>
  <P class=3DMsoNormal=20
  style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify; =
mso-layout-grid-align: none"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: =
Arial">gordura?<o:p></o:p></SPAN></P>
  <P class=3DMsoNormal=20
  style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify; =
mso-layout-grid-align: none"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial">A) <st1:metricconverter=20
  ProductID=3D"3,2 litros" w:st=3D"on">3,2=20
  litros</st1:metricconverter><o:p></o:p></SPAN></P>
  <P class=3DMsoNormal=20
  style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify; =
mso-layout-grid-align: none"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial">B) <st1:metricconverter=20
  ProductID=3D"3,4 litros" w:st=3D"on">3,4=20
  litros</st1:metricconverter><o:p></o:p></SPAN></P>
  <P class=3DMsoNormal=20
  style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify; =
mso-layout-grid-align: none"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial">C) <st1:metricconverter=20
  ProductID=3D"3,6 litros" w:st=3D"on">3,6=20
  litros</st1:metricconverter><o:p></o:p></SPAN></P>
  <P class=3DMsoNormal=20
  style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify; =
mso-layout-grid-align: none"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial">D) <st1:metricconverter=20
  ProductID=3D"3,8 litros" w:st=3D"on">3,8=20
  litros</st1:metricconverter><o:p></o:p></SPAN></P>
  <P class=3DMsoNormal=20
  style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify; =
mso-layout-grid-align: none"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: Arial">E) <st1:metricconverter=20
  ProductID=3D"4 litros" w:st=3D"on">4=20
  litros</st1:metricconverter><o:p></o:p></SPAN></P>
  <P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: =
justify">&nbsp;</P>
  <P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: =
justify">&nbsp;</P>
  <P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: =
justify">Fico=20
  agradecida.</o:p></SPAN></P>
  <P class=3DMsoNormal style=3D"MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: =
justify"><SPAN=20
  style=3D"FONT-SIZE: 10pt; FONT-FAMILY: =
Arial"><o:p></o:p></SPAN>&nbsp;</P></DIV></DIV></BLOCKQUOTE></BODY></HTML=
>

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