document.write( "Question 828054: 1.A box contains 100 coins partly 5 rupee and 2 rupee,the total value of which is Rs.245.Find the numbers of both 2 & 5 rupee coins.
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document.write( "2.The sides of a triangle are in the ratio 2:3:4 and its perimeter is 36 cm.Find the greatest side of the traiangle in cm.
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document.write( "3.A man bought some milk and added 1 lit. water with every 6 lit. of milk and sold the mixture at the cost price of pure milk.Find his percentage of profit. \n" );
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Algebra.Com's Answer #498988 by LinnW(1048) You can put this solution on YOUR website! Set t = number of 2 rupee coins \n" ); document.write( " f = number of 5 rupee coins\r \n" ); document.write( "\n" ); document.write( "The number of 2 rupee coins + the number of 5 rupee coins = 100 \n" ); document.write( "t + f = 100\r \n" ); document.write( "\n" ); document.write( "(2 rupees)(no of two rupee coins) + (5 rupees)(no of 5 rupee coins) = 245 rupees \n" ); document.write( "2t + 5f = 245\r \n" ); document.write( "\n" ); document.write( "Solve the first equation for t \n" ); document.write( "t + f = 100 \n" ); document.write( "subtract f from each side \n" ); document.write( " t = 100 - f \n" ); document.write( "substitute (100 - f) for t in 2t + 5f = 245 \n" ); document.write( "2(100 - f) + 5f = 245 \n" ); document.write( "200 -2f + 5f = 245 \n" ); document.write( "200 +3f = 245 \n" ); document.write( "subtract 200 from each side \n" ); document.write( "3f = 45 \n" ); document.write( " f = 15 \n" ); document.write( "since t = 100 - f , \n" ); document.write( "t = 100 - 15 = 85 \n" ); document.write( "Check in 2t + 5f = 245 \n" ); document.write( "2(85) + 5(15) ?= 245 \n" ); document.write( "170 + 75 ?= 245 \n" ); document.write( "245 = 245, so the values check out.\r \n" ); document.write( "\n" ); document.write( "2.The sides of a triangle are in the ratio 2:3:4 and its perimeter is 36 cm.Find the greatest side of the traiangle in cm.\r \n" ); document.write( "\n" ); document.write( "Find the fraction of the perimeter for each side. \n" ); document.write( "With side ratios of 2:3:4, add 2+3+4 = 9 \n" ); document.write( "The fractions of the perimeter are 2/9,3/9,4/9 \n" ); document.write( "The side lengths of the triangle with perimeter 36 are \n" ); document.write( "(2/9)36 , (3/9)36, (4/9)36 \n" ); document.write( "72/9 , 108/9 , 144/9 \n" ); document.write( "8,12,16\r \n" ); document.write( "\n" ); document.write( "3.A man bought some milk and added 1 lit. water with every 6 lit. of milk and sold the mixture at the cost price of pure milk.Find his percentage of profit.\r \n" ); document.write( "\n" ); document.write( "The mixture will have a total of 7 liters. \n" ); document.write( "The one liter added represents the profit. \n" ); document.write( "Profit is 1/7 = 14.28% \n" ); document.write( " |