<PRE><B>Question 731025</B>
Let s= number of six bagel packages.  Let t=number of twelve package bagels.&lt;P&gt;
s + t = 20 since there are a total of 20 packages, which is the sum of the number of different types of packages.&lt;P&gt;
6s + 12t = 168,  Each six bagel package contributes 6 bagels for a total of 6s bagels.  Each twelve bagel package contributes 12 bagels for a total of 12t bagels.  The sum is the total number of bagels.&lt;P&gt;
Solve the first equation for s in terms of t.  s = 20 - t.&lt;P&gt;
Substitute that into the second equation, and solve for t.&lt;P&gt;
6(20-t) + 12t = 168&lt;P&gt;
120 - 6t + 12t = 168&lt;P&gt;
6t = 48  (And Mr. T = tough, fool).&lt;P&gt;
t = 8&lt;P&gt;
The manager bought 8 twelve bagel packages.

&lt;P&gt;Hope the solution helped.  Sometimes you need more than a solution.  Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)
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