document.write( "Question 87076: You have at least $30 in change in your drawer, consiting of dimes and quarters. Write an inequality that shows the different number of coins in your drawer. \n" ); document.write( "

Algebra.Com's Answer #63044 by Edwin McCravy(20055) $\"\"$ $\"About$

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document.write( "You have at least $30 in change in your drawer,\r\n" );
document.write( "consiting of dimes and quarters. Write an inequality \r\n" );
document.write( "that shows the different number of coins in your drawer.\r\n" );
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document.write( ".10d + .25q = 30\r\n" );
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document.write( "That may be all your teacher wants.\r\n" );
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document.write( "or\r\n" );
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document.write( "10d + 25q = 3000\r\n" );
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document.write( "Divide theough by 5\r\n" );
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document.write( "2d + 5q = 600\r\n" );
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document.write( "Maybe that's the form your teacher wants.\r\n" );
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document.write( "Or you can go further:\r\n" );
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document.write( "2d + (4q + q) = 600\r\n" );
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document.write( "2d + 4q + q = 600\r\n" );
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document.write( "Divide through by 2\r\n" );
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document.write( "d + 2q +  = 300\r\n" );
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document.write( "Isolate the fraction:\r\n" );
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document.write( " = 300 - d - 2q\r\n" );
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document.write( "The right side is an integer A,\r\n" );
document.write( "so the left side must equal integer A also\r\n" );
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document.write( " = A ;  300 - d - 2q = A\r\n" );
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document.write( "q = 2A\r\n" );
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document.write( "Substitute:\r\n" );
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document.write( "300 - d - 2(2A) = A\r\n" );
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document.write( "300 - d - 4A = A\r\n" );
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document.write( "-d = 5A - 300\r\n" );
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document.write( "d = -5A + 300\r\n" );
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document.write( "d = 300 - 5A\r\n" );
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document.write( "d > 0 so\r\n" );
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document.write( "300 - 5A > 0\r\n" );
document.write( "     -5A > -300\r\n" );
document.write( "       A < 60\r\n" );
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document.write( "q = 2A\r\n" );
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document.write( "q > 0 so\r\n" );
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document.write( "2A > 0\r\n" );
document.write( " A > 0\r\n" );
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document.write( "So 0 < A < 60\r\n" );
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document.write( "So you may choose A as any integer between 0 and 60\r\n" );
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document.write( "Then the number of dimes will be 300 - 5A and the\r\n" );
document.write( "number of quarters will be 2A.\r\n" );
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document.write( "Edwin

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