document.write( "Question 473566: The average of the first 6 scores was 12. The average of the next 12 scores was 36.What was the overall average ? \n" ); document.write( "

Algebra.Com's Answer #324816 by oberobic(2304) $\"\"$ $\"About$

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Since the average of the first 6 scores was 12, the sum of the 6 scores was 72.
\n" ); document.write( "We know that because the average = sum / count.
\n" ); document.write( "12 = x / 6
\n" ); document.write( "72 = x
\n" ); document.write( "x = 72
\n" ); document.write( ".
\n" ); document.write( "Using the same logic we find that
\n" ); document.write( "36 = y / 12
\n" ); document.write( "y = 12 * 36
\n" ); document.write( "y = 432
\n" ); document.write( ".
\n" ); document.write( "So, we have 18 scores that sum to 72+432 = 504
\n" ); document.write( "Average = 504/18
\n" ); document.write( "Average = 28.
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

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