document.write( "Question 214071: Please help ME....\r
\n" ); document.write( "\n" ); document.write( "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.
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Algebra.Com's Answer #161686 by tutor_paul(519)\"\" \"About 
You can put this solution on YOUR website!
Let V be the cost of a VHS tape
\n" ); document.write( "Let C be the cost of a Cassette tape
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\n" ); document.write( "From the information given you can write the following equations:
\n" ); document.write( "Equation #1: \"5V%2B4C=28.5\"
\n" ); document.write( "Equation #2: \"4V%2B2C=21\"
\n" ); document.write( "You have 2 equations with 2 unknowns. That means you can solve the problem.
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\n" ); document.write( "Solve Equation #1 for V in terms of C:
\n" ); document.write( "\"5V=28.5-4C\"
\n" ); document.write( "\"V=%2828.5-4C%29%2F5\"
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\n" ); document.write( "Substitute this expression for V into Equation #2 and Solve for C:
\n" ); document.write( "\"%28%284%2828.5-4C%29%29%2F5%29%2B2C=21\"
\n" ); document.write( "\"%28%28114-16C%29%2F5%29%2B2C=21\"
\n" ); document.write( "\"%28114%2F5%29-%2816C%2F5%29%2B2C=21\"
\n" ); document.write( "\"-3.2C%2B2C=21-22.8\"
\n" ); document.write( "\"-1.2C=-1.8\"
\n" ); document.write( "\"highlight%28C=1.5%29\"
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\n" ); document.write( "Substitute this value for C back into Equation #2 and solve for V:
\n" ); document.write( "\"4V%2B2%281.5%29=21\"
\n" ); document.write( "\"4V%2B3=21\"
\n" ); document.write( "\"4V=18\"
\n" ); document.write( "\"highlight%28V=4.5%29\"
\n" ); document.write( "============================
\n" ); document.write( "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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\n" ); document.write( "Good Luck,
\n" ); document.write( "tutor_paul@yahoo.com\r
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