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.
\n" ); document.write( "Find the percentage profit
\n" ); document.write( "In what ratio should the two blends be mixed to get a mixture that costs sh. 148 per kilogram
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\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
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\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
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\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
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\n" ); document.write( "\n" ); document.write( "3*140+2*160 = 740
\n" ); document.write( "740/5= 148
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