document.write( "Question 1180678: At a linen sale Mrs. Earl bought twice ad many pillowcases for $2 each as sheets for $5 each. If she spent less than $40, not including tax, what is the maximum number of pillowcases she could have purchased? \n" ); document.write( "

Algebra.Com's Answer #810423 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "At a linen sale Mrs. Earl bought twice ad many pillowcases for $2 each as sheets for $5 each.
\n" ); document.write( "If she spent less than $40, not including tax, what is the maximum number of pillowcases she could have purchased?
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document.write( "Let the number of sheets;  then the number of pillowcases is 2x, according to the condition.\r\n" );
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document.write( "We then write this money inequality\r\n" );
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document.write( "    2*(2x) + 5*x <= 40  dollars\r\n" );
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document.write( "We simplify and solve this inequality\r\n" );
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document.write( "    4x + 5x <= 40,\r\n" );
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document.write( "      9x    <= 40,\r\n" );
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document.write( "       x    <=  = 4.44  (rounded).\r\n" );
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document.write( "Since x is an integer number, it means that\r\n" );
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document.write( "       x    <= 4.\r\n" );
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document.write( "So, 4 is the maximum possible value for x.\r\n" );
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document.write( "It means that the maximum number of pillowcases is 2x = 2*4 = 8.    ANSWER\r\n" );
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