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.
\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.
\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.
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Algebra.Com's Answer #498988 by LinnW(1048)\"\" \"About 
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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%
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