SOLUTION: Please help ME.... Cynthia brought 5 blanks VHS tapes and 4 cassette tapes for $28.50. Charles bought 4 VHS tapes and 2 cassette tapes for $21.00. Find the cost of each type o

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Please help ME.... Cynthia brought 5 blanks VHS tapes and 4 cassette tapes for $28.50. Charles bought 4 VHS tapes and 2 cassette tapes for $21.00. Find the cost of each type o      Log On

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Question 214071: Please help ME....
Cynthia brought 5 blanks VHS tapes and 4 cassette tapes for $28.50. Charles bought 4 VHS tapes and 2 cassette tapes for $21.00. Find the cost of each type of tapes.
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
Let V be the cost of a VHS tape
Let C be the cost of a Cassette tape
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From the information given you can write the following equations:
Equation #1: 5V%2B4C=28.5
Equation #2: 4V%2B2C=21
You have 2 equations with 2 unknowns. That means you can solve the problem.
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Solve Equation #1 for V in terms of C:
5V=28.5-4C
V=%2828.5-4C%29%2F5
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Substitute this expression for V into Equation #2 and Solve for C:
%28%284%2828.5-4C%29%29%2F5%29%2B2C=21
%28%28114-16C%29%2F5%29%2B2C=21
%28114%2F5%29-%2816C%2F5%29%2B2C=21
-3.2C%2B2C=21-22.8
-1.2C=-1.8
highlight%28C=1.5%29
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Substitute this value for C back into Equation #2 and solve for V:
4V%2B2%281.5%29=21
4V%2B3=21
4V=18
highlight%28V=4.5%29
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To check your answers, plug these values of C and V back into Equations #1 and #2 and make sure the equations hold true.
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Good Luck,
tutor_paul@yahoo.com