document.write( "Question 1165969: A scale balances only when three gold bars are on one side and one gold bar and a ten kilogram weight on other. Determine weight of one gold bar. Note: All gold bars have equal weight.\r
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document.write( "Not sure how to solve.\r
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Algebra.Com's Answer #790433 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let the weight of one gold bar equal x kilograms.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "on one side, you have 3 gold bars, so the expression is 3 * x \n" ); document.write( "on the other side, you have 1 gold bar + 10 kg, so the expression is x + 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to be balanced, the weight on one side of the scale needs to be equal to the weight on the other side of the scale.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get: \n" ); document.write( "3x = x + 10 \n" ); document.write( "subtract x from both sides of this equation to get: \n" ); document.write( "2x = 10 \n" ); document.write( "solve for x to get: \n" ); document.write( "x = 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "each gold bar weights 5 kg. \n" ); document.write( "one side of the scale = 3 * 5 = 15 kg. \n" ); document.write( "the other side of the scale = 1 * 5 + 10 = 15 kg. \n" ); document.write( "the scale is balanced.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is that the weight of one gold bar is 5 kg.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |