document.write( "Question 1191857: 23. In calcium sulfate the ratio, by mass, of calcium to sulfur is 5:4 and
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document.write( "of calcium to oxygen is 5:8. How many grams of each are there in
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document.write( "34 g of calcium sulfate? \n" );
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Algebra.Com's Answer #823708 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The ratio of calcium to sulfur is 5:4 \n" ); document.write( "The ratio of calcium to oxygen is 5:8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We can flip the second ratio to get \n" ); document.write( "ratio of oxygen to calcium is 8:5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then join up the 8:5 ratio with the 5:4 ratio to get the triple ratio 8:5:4 \n" ); document.write( "This describes the ratio of oxygen to calcium to sulfur in that exact order.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Scale up that triple ratio by x to get 8x:5x:4x \n" ); document.write( "The parts add to 8x+5x+4x = 13x+4x = 17x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Set this equal to the total amount of calcium sulfate ( \n" ); document.write( "17x = 34 \n" ); document.write( "x = 34/17 \n" ); document.write( "x = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, the ratio 8x:5x:4x is 8*2:5*2:4*2 or 16:10:8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Telling us that there are... \n" ); document.write( "16 grams of oxygen \n" ); document.write( "10 grams of calcium \n" ); document.write( "8 grams of sulfur \n" ); document.write( "Each describes the mass value, and not weight. \n" ); document.write( " \n" ); document.write( " |