SOLUTION: 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, v

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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?
Answer by tutor_paul(519) About Me  (Show Source):
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!
Let w=Word Processing Program
Let f=Financial Program
From the first statement, you can write the following equation:
Equation #1: 12w%2B10f=6520
From the second statement, you can write the following equation:
Equation #2:6w%2B7f=3940
Now solve for w in terms of f in Equation #1:
12w=6520-10f
w=%28%286520-10f%29%2F12%29
Now, you can take this equation for w, and substitute it into Equation #2:
6%28%286520-10f%29%2F12%29%2B7f=3940
Now, solve for f:
%28%286520-10f%29%2F2%29%2B7f=3940
Simplify...
3260-5f%2B7f=3940
2f=680
f=340
Now that you know f, you can plug that into Equation #1 and solve for w.
I will leave that part to you :-)
Good Luck,
tutor_paul@yahoo.com