document.write( "Question 1201920: Two blends of tea costing sh. 140 and sh. 160 per kg respectively are mixed in the ratio 2:3 by mass. The mixture is sold at sh. 240 per kg.
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document.write( "Find the percentage profit
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document.write( "In what ratio should the two blends be mixed to get a mixture that costs sh. 148 per kilogram \n" );
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Algebra.Com's Answer #836492 by mananth(16946)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Two blends of tea costing sh. 140 and sh. 160 per kg respectively are mixed in the ratio 2:3 by mass. \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Assume I mix 2kg of Blend of sh140/kg . It will cost sh 280 \n" ); document.write( "3kgsof blend costing sh 160/kg The cost will be sh480\r \n" ); document.write( "\n" ); document.write( "Total 5 kg of mixed blend will cost (280+480) = sh760\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "One kg will cost 760/5 = sh152/kg \n" ); document.write( "The mixture is sold at sh. 240 per kg. \n" ); document.write( "profit = (240-152)= 88 \n" ); document.write( "Percent profit = 88/152 *100 \n" ); document.write( "=57.89 % \n" ); document.write( "In what ratio should the two blends be mixed to get a mixture that costs sh. 148 per kilogram \r \n" ); document.write( "\n" ); document.write( "I make a 1 kg mix \n" ); document.write( "I take x kg of blend costing sh140 \n" ); document.write( "(1-x) kg of blend of 160 /kg\r \n" ); document.write( "\n" ); document.write( "140x +(1-x)160= 148 \n" ); document.write( "140x +160 -160x =148\r \n" ); document.write( "\n" ); document.write( "-20x = -12\r \n" ); document.write( "\n" ); document.write( "x= 12/20 = 3/5 kg\r \n" ); document.write( "\n" ); document.write( "Balance = 2/5 kg\r \n" ); document.write( "\n" ); document.write( "(3/5)/2/5) \n" ); document.write( "3:2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3*140+2*160 = 740 \n" ); document.write( "740/5= 148 \n" ); document.write( " \n" ); document.write( " |