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  <resource>
  <id>7178</id>
  <path>/www/nrich/html/content/id/7178/</path>
  <resourceTypeID>1</resourceTypeID>
  <last_published>2011-02-01T00:00:01</last_published>
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&lt;mdoxml version=&quot;1.0&quot;&gt;&lt;br&gt;&lt;/br&gt;
&lt;p&gt;$35$ teenagers were asked what takeaways they liked to eat.&lt;br&gt;&lt;/br&gt;
 &lt;/p&gt;
&lt;div style=&quot;margin-left: 40px;&quot;&gt;$24$ answered Chinese&lt;/div&gt;
&lt;div style=&quot;margin-left: 40px;&quot;&gt;$16$ answered Indian&lt;/div&gt;
&lt;div style=&quot;margin-left: 40px;&quot;&gt;$10$ answered pizza&lt;/div&gt;
&lt;br&gt;&lt;/br&gt;
&lt;p&gt;None of the teenagers liked all three. All who liked pizza also liked Chinese and $9$ of the Chinese fans didn&amp;#39;t like either Indian or pizza.&lt;br&gt;&lt;/br&gt;
 &lt;br&gt;&lt;/br&gt;
If all the teenagers liked at least one, how many liked only Indian?&lt;br&gt;&lt;/br&gt;
 &lt;br&gt;&lt;/br&gt;
 &lt;br&gt;&lt;/br&gt;
If you liked this problem, &lt;a href=&quot;http://nrich.maths.org/794&amp;amp;part=&quot;&gt;here is an NRICH task&lt;/a&gt; which challenges you to use similar mathematical ideas. &lt;br&gt;&lt;/br&gt;
 &lt;/p&gt;
&lt;p&gt; &lt;/p&gt;&lt;/mdoxml&gt;</indexXML>
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&lt;mdoxml version=&quot;1.0&quot;&gt;&lt;br&gt;&lt;/br&gt;
The number of teenagers who liked only Indian was $11$.&lt;br&gt;&lt;/br&gt;
 &lt;br&gt;&lt;/br&gt;
 &lt;br&gt;&lt;/br&gt;&lt;/mdoxml&gt;</solutionXML>
  <noteXML/>
  <clueXML/>
  <canonXML/>
  <end_user_role>2</end_user_role>
  <difficulty>3</difficulty>
  <keystage1>0</keystage1>
  <keystage2>1</keystage2>
  <keystage3>0</keystage3>
  <keystage4>0</keystage4>
  <keystage4plus>0</keystage4plus>
  <title>Weekly Problem 27 - 2011</title>
  <description>Weekly Problem 27 - 2011</description>
  <spec_group>Handling, Processing and Representing Data
    <specifier>Interpreting data</specifier>
  </spec_group>
  <spec_group>Handling, Processing and Representing Data
    <specifier>Venn diagrams</specifier>
  </spec_group>
</resource>