document.write( "Question 1036788: There were 3 girls ( T , K, G). G gave half of her sweets to T. T gave half of her lollies to K, then K gave G half of her lollies. If G had the same amount of lollies at the start, how much lollies did G have?\r
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document.write( "Please help me to set up equations to solve this problem. Thanks! \n" );
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Algebra.Com's Answer #651514 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! There were 3 girls ( T , K, G). \n" ); document.write( "----G gave half of her sweets to T. \n" ); document.write( "G now has G/2 \n" ); document.write( "T now has T+(G/2) = (2T+G)/2 \n" ); document.write( "-------------------------------------- \n" ); document.write( "T gave half of her lollies to K \n" ); document.write( "T now has (2T+G)/4 \n" ); document.write( "K now has K + (2T+G)/4 = (4K+2T+G)/8 \n" ); document.write( "--------------- \n" ); document.write( "then K gave G half of her lollies \n" ); document.write( "K now has (4K+2T+G)/16 \n" ); document.write( "G now has (G/2)+(4k+2T+G)/16 = (8G+4K+2T+G)/16 = (9G + 4K+2T)/16 \n" ); document.write( "========= \n" ); document.write( "If G had the same amount of lollies at the start, how much lollies did G have? \n" ); document.write( "Please help me to set up equations to solve this problem. \n" ); document.write( "Solve for \"G\":: \n" ); document.write( "(9G+4K+2T)/16 = G \n" ); document.write( "(9G + 4K + 2T) = 16G \n" ); document.write( "7G = 4K + 2T \n" ); document.write( "G = (4K+2T)/7\r \n" ); document.write( "\n" ); document.write( "---------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------------- \n" ); document.write( " |