document.write( "Question 1145565: Lucy wants her portrait to be framed of uniform width. If the dimensions of the portrait is 10.5 x 14 in and the frame to be build is in the ratio 5:6, what are the dimensions of the frame? \n" ); document.write( "

Algebra.Com's Answer #766826 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let w be the frame uniform width.\r\n" );
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document.write( "Then your setup equation is this\r\n" );
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document.write( "     = .\r\n" );
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document.write( "To solve it, cross multiply\r\n" );
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document.write( "    6*(10.5 + 2w) = 5*(14 + 2w).\r\n" );
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document.write( "The rest is several easy steps\r\n" );
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document.write( "    \r\n" );
document.write( "     63 + 12w = 70 + 10w,\r\n" );
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document.write( "     12w - 10w = 70 - 63\r\n" );
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document.write( "      2w       = 7\r\n" );
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document.write( "       w       = 7/2 = 3.5 inches.      ANSWER\r\n" );
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document.write( "Then the outer dimensions of the frame are 10.5+2*3.5 = 17.5 inches and 14+2*3.5 = 21 inches.    ANSWER\r\n" );
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document.write( "CHECK.  The ratio of outer dimensions of the frame is   = .   ! Correct !\r\n" );
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