document.write( "Question 1208072: the mass of a bag of red star sugar is 20% greater than the mass of a bag of blue star sugar. However, a bag of red star sugar costs 50% more than a bag of blue star sugar. for the same mass, red star sugar costs how much percent more than blue star sugar? \n" ); document.write( "

Algebra.Com's Answer #846215 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "the mass of a bag of red star sugar is 20% greater than the mass of a bag of blue star sugar.
\n" ); document.write( "However, a bag of red star sugar costs 50% more than a bag of blue star sugar.
\n" ); document.write( "for the same mass, red star sugar costs how much percent more than blue star sugar?
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document.write( "Let m be the mass of the blue star sugar in a bag, in which they sell it (in kilograms).\r\n" );
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document.write( "Then the mass of the red star sugar in a bag, in which they sell it is 1.2m kilograms, \r\n" );
document.write( "according to the problem's description.\r\n" );
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document.write( "Let x be the price of one kilogram of the blue star sugar.\r\n" );
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document.write( "Let y be the price of one kilogram of the red  star sugar.\r\n" );
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document.write( "      They want you find the ratio  .\r\n" );
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document.write( "Since a bag of red star sugar costs 50% more than a bag of blue star sugar \r\n" );
document.write( "we can write this equation\r\n" );
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document.write( "    x*m*1.5 = y*(1.2*m).    (1)\r\n" );
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document.write( "In this equation, left side  is the cost of one bag of the blue star sugar increased by 50%; \r\n" );
document.write( "                  right side is the cost of one bag of the red  star sugar.\r\n" );
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document.write( "From equation (1),  the ratio    is\r\n" );
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document.write( "     =  = reduce m in the numerator and denominator =  = 1.25.\r\n" );
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document.write( "            Thus, the price of one kilo of the red star sugar \r\n" );
document.write( "    is 1.25, or 125% of the price of one kilo of the blue star sugar.\r\n" );
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document.write( "Then the answer to the problem's question is: \r\n" );
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document.write( "     the price of one kilogram mass of the red star sugar is 125% - 100% = 25% more \r\n" );
document.write( "     than the price of one kilogram mass of the blue star sugar.\r\n" );
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