document.write( "Question 475488: Two models, A and B, of a statue are made. A has a volume of 32 cm^3 and B has a volume of 56 cm^3. If models A and B have the same mass and the difference in the densities of the material used in making A and B is 1.8 g/cm^3, what is the mass of each model? \n" ); document.write( "
Algebra.Com's Answer #326059 by htmentor(1343)\"\" \"About 
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Two models, A and B, of a statue are made. A has a volume of 32 cm^3 and B has a volume of 56 cm^3. If models A and B have the same mass and the difference in the densities of the material used in making A and B is 1.8 g/cm^3, what is the mass of each model?
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\n" ); document.write( "density = mass/volume -> mass = density*volume
\n" ); document.write( "Since the two masses are equal we can write
\n" ); document.write( "d1*V1 = d2*V2
\n" ); document.write( "where d = density, V = volume
\n" ); document.write( "The difference in the densities is 1.8 -> d1 = d2 + 1.8
\n" ); document.write( "[We know d1>d2 since V1\n" ); document.write( "Substitute the V values and the value for d1 in the above equation:
\n" ); document.write( "(d2+1.8)*32 = d2*56
\n" ); document.write( "24d2 = 57.6
\n" ); document.write( "d2 = 2.4
\n" ); document.write( "Therefore d1 = 2.4 + 1.8 = 4.2
\n" ); document.write( "So densities are 2.4 and 4.2 g/cm^3
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