document.write( "Question 1208492: A candy company sells premium chocolate at $5 per pound and regular chocolates at $4 per pound. If Barrett buys a 7-pound box of chocolates that costs him $31, how many pounds of premium chocolates are in the box? \n" ); document.write( "

Algebra.Com's Answer #846935 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A candy company sells premium chocolate at $5 per pound and regular chocolates at $4 per pound.
\n" ); document.write( "If Barrett buys a 7-pound box of chocolates that costs him $31, how many pounds of premium chocolates are in the box?
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document.write( "Let x be the number of pounds of premium chocolates in the box.\r\n" );
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document.write( "Then the number of pounds of regular chocolates in the box is (7-x).\r\n" );
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document.write( "Write the cost equation for the box of chocolates\r\n" );
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document.write( "    5x + 4*(7-x) = 31  dollars.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    5x + 28 - 4x = 31\r\n" );
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document.write( "    5x - 4x = 31 - 28\r\n" );
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document.write( "        x   =    3.\r\n" );
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document.write( "ANSWER.  There are 3 pounds of the premium chocolate in the box.\r\n" );
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document.write( "CHECK.   The total cost of the box is then  5*3 + 4*(7-3) = 15 + 4*4 = 15 + 16 = 31 dollars.   ! correct !\r\n" );
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