document.write( "Question 78777: A computer store received 2 shipments of software. The 1st shipment contained 12 word processing programs and 10 financial programs with a total value of $6520. The 2nd shipment, valued at $3940, contained 6 word processing programs and 7 financial programs. Find the cost of each program? \n" ); document.write( "
Algebra.Com's Answer #56517 by tutor_paul(519)\"\" \"About 
You can put this solution on YOUR website!
This problem can be boiled down to having 2 equations with 2 unknowns. If you have as many equations as unknowns, you can always find the unknowns!
\n" ); document.write( "Let w=Word Processing Program
\n" ); document.write( "Let f=Financial Program
\n" ); document.write( "From the first statement, you can write the following equation:
\n" ); document.write( "Equation #1: \"12w%2B10f=6520\"
\n" ); document.write( "From the second statement, you can write the following equation:
\n" ); document.write( "Equation #2:\"6w%2B7f=3940\"
\n" ); document.write( "Now solve for w in terms of f in Equation #1:
\n" ); document.write( "\"12w=6520-10f\"
\n" ); document.write( "\"w=%28%286520-10f%29%2F12%29\"
\n" ); document.write( "Now, you can take this equation for w, and substitute it into Equation #2:
\n" ); document.write( "\"6%28%286520-10f%29%2F12%29%2B7f=3940\"
\n" ); document.write( "Now, solve for f:
\n" ); document.write( "\"%28%286520-10f%29%2F2%29%2B7f=3940\"
\n" ); document.write( "Simplify...
\n" ); document.write( "\"3260-5f%2B7f=3940\"
\n" ); document.write( "\"2f=680\"
\n" ); document.write( "\"f=340\"
\n" ); document.write( "Now that you know f, you can plug that into Equation #1 and solve for w.
\n" ); document.write( "I will leave that part to you :-)
\n" ); document.write( "Good Luck,
\n" ); document.write( "tutor_paul@yahoo.com
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