<PRE><B>Question 1195129</B>
&lt;br&gt;
(1) A standard solution method, using the standard method of calculating averages....&lt;br&gt;
2 scores of 73, plus 3 scores of 68, plus 1 score of x, makes an average of 71:&lt;br&gt;
{{{((2*73)+3(68)+1(x))/6=71}}}
{{{(146+204+x)/6=71}}}
{{{350+x=426}}}
{{{x=426-350=76}}}&lt;br&gt;
ANSWER: 76&lt;br&gt;
(2) An alternative method that keeps the numbers in the calculations smaller, which can be used in any problem like this where the numbers are all close together....&lt;br&gt;
Compare each number to the average and look at the &quot;overs&quot; and &quot;unders&quot;.  The average is obtained only if the overs and unders are equal.&lt;br&gt;
2 scores of 73, each 2 over the average: +4
3 scores of 68, each 3 under the average: -9&lt;br&gt;
The balance with those 5 scores is (+4)+(-9) = -5; that means the 6th score must be +5.&lt;br&gt;
ANSWER: 71+5 = 76&lt;br&gt;
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