<PRE><B>Question 1201529</B>
&lt;br&gt;
Let x be the number of boys and the number of girls.&lt;br&gt;
The boys each ate 1/6 of a pizza; the number of pizzas the boys ate was x(1/6) = x/6.  They ate all the pizzas they got, so the number of pizzas they got was x/6.&lt;br&gt;
The girls each ate 1/18 of a pizza; the number of pizzas they ate was x(1/18) = x/18.  They finished with 6 2/3 pizzas left over.  The number of pizzas they got was x/18 + 6 2/3 = x/18 + 20/3.&lt;br&gt;
The number of pizzas the girls got was twice the number the boys got:&lt;br&gt;
x/18 + 20/3 = 2(x/6)&lt;br&gt;
Multiply by 18 to clear fractions....&lt;br&gt;
x+120 = 6x
5x = 120
x = 24&lt;br&gt;
There were 24 boys and 24 girls in the group.&lt;br&gt;
Each of the 24 boys ate 1/6 of a pizza; that makes 4 pizzas.&lt;br&gt;
The girls got twice as many pizzas as the boys, so the girls got 8 pizzas.&lt;br&gt;
So the total number of pizzas Mr. Cody bought was 4+8 = 12.&lt;br&gt;
ANSWER: 12&lt;br&gt;
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