document.write( "Question 1207581: how do I find how many dimes he has? \r
\n" ); document.write( "\n" ); document.write( "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( "and help for this please. \r
\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.\"
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Algebra.Com's Answer #845536 by mananth(16946)\"\" \"About 
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
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\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
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