document.write( "Question 1207581: how do I find how many dimes he has? \r
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document.write( "Maurice has 280 coins - all quarters and dimes - won from playing poker. If his winnings
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document.write( " total $49.45, how many dimes does he have?\"\r
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document.write( "and help for this please. \r
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document.write( "\"The perimeter of a triangle is 64 metres. The longest side of the triangle is 3 times the
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document.write( " length of the shortest side, and the third side is 8 metres less than double the length of the
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document.write( " shortest side. Determine the dimensions of all three sides of the triangle.\" \n" );
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Algebra.Com's Answer #845536 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Maurice has 280 coins - all quarters and dimes - won from playing poker. If his winnings \n" ); document.write( "total $49.45, how many dimes does he have?\"\r \n" ); document.write( "\n" ); document.write( "Let the number of dimes maurice has be d\r \n" ); document.write( "\n" ); document.write( "and quarters be q\r \n" ); document.write( "\n" ); document.write( "Maurice has 280 coins\r \n" ); document.write( "\n" ); document.write( "d+q=280...........................................(1)\r \n" ); document.write( "\n" ); document.write( " his winnings total $49.45 \n" ); document.write( "10d+25q=49.45*100.........................(2) \n" ); document.write( "10d+25q=4945 \n" ); document.write( "multiply (1) by 10 and subtract from (2) \n" ); document.write( "10d+10q= 2800 \n" ); document.write( "10d+25q=4945\r \n" ); document.write( "\n" ); document.write( "15q= 2145 \n" ); document.write( "q= 2145/15 = 143 \r \n" ); document.write( "\n" ); document.write( "d+q= 280 \n" ); document.write( "Therefore d = 280-143=137 \n" ); document.write( " Maurice has 137 dimes.\r \n" ); document.write( "\n" ); document.write( "Check \n" ); document.write( "0.25×143+0.10×137=35.75+13.70=49.45\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The perimeter of a triangle is 64 metres. The longest side of the triangle is 3 times the \n" ); document.write( "length of the shortest side, and the third side is 8 metres less than double the length of the \n" ); document.write( "shortest side. Determine the dimensions of all three sides of the triangle.\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let x be the longest side ,y be the shortest side and z the third side.\r \n" ); document.write( "\n" ); document.write( "The longest side of the triangle is 3 times the \n" ); document.write( "length of the shortest side, \r \n" ); document.write( "\n" ); document.write( "x=3y ......................................(1)\r \n" ); document.write( "\n" ); document.write( " The third side is 8 metres less than double the length of the \n" ); document.write( "shortest side. \n" ); document.write( "z= 2x-8 ..................................(2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The perimeter of a triangle is 64 metres (given) \n" ); document.write( "x+y+z= 64 \n" ); document.write( "x+(x/3)+(2x-8)=64\r \n" ); document.write( "\n" ); document.write( "x+x/3 +2x-8=64 \n" ); document.write( "3x+x/3 = 72 \n" ); document.write( "multiply by 3 \n" ); document.write( "3x+3x = 216 \n" ); document.write( "6x=216 \n" ); document.write( "x= 36\r \n" ); document.write( "\n" ); document.write( "x=3y\r \n" ); document.write( "\n" ); document.write( "y=x/3 \n" ); document.write( "y = 36/3 = 12\r \n" ); document.write( "\n" ); document.write( "x+y+z= 64\r \n" ); document.write( "\n" ); document.write( "12+36+z= 64\r \n" ); document.write( "\n" ); document.write( "z = 64-48\r \n" ); document.write( "\n" ); document.write( "z= 16\r \n" ); document.write( "\n" ); document.write( " The dimensions of the sides of the triangle are 12 meters, 36 meters, and 16 meters.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |