document.write( "Question 624489: You have $32 to spend at the music store. Each cassette tape costs $5 and each CD costs $9. Write a linear inequality that represents this situation. Let x represent the number of tapes and y the number of CDs. \n" ); document.write( "

Algebra.Com's Answer #392782 by math-vortex(648) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Hi, there--\r\n" );
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document.write( "The Problem:\r\n" );
document.write( "You have $32 to spend at the music store. Each cassette tape costs $5 and each CD costs $9. Write \r\n" );
document.write( "a linear inequality that represents this situation. Let x represent the number of tapes and y the \r\n" );
document.write( "number of CDs.\r\n" );
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document.write( "Solution:\r\n" );
document.write( "Let x be the number of cassette tapes you purchase.\r\n" );
document.write( "Let y be the number of CDs you purchase.\r\n" );
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document.write( "In this situation, you only have $32 to spend, so you want to make sure that the total you spend is \r\n" );
document.write( "less than or equal to $32. \r\n" );
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document.write( "Different combinations of tapes and CDs are possible. We want an equation showing this relationship.\r\n" );
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document.write( "One cassette tape costs $5. The cost for any number of cassette tapes is $5 times the number \r\n" );
document.write( "purchased; that's 5 times x, or 5x.\r\n" );
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document.write( "To find the cost of CDs purchased, we multiply $9 times the number of CDs, $9 times y or 9y.\r\n" );
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document.write( "The cost of the total purchase is \r\n" );
document.write( "[the cost of the cassettes] + [the cost of the CDs] or\r\n" );
document.write( "5x + 9y\r\n" );
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document.write( "We want this total cost to be less than or equal to $32, so we write\r\n" );
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document.write( "That's it. Please email your questions or comments about the solution. I want to be sure you \r\n" );
document.write( "understand, and I'd appreciate the feedback.\r\n" );
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document.write( "Ms.Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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