The volume of a barss piece is twice that of a aluminium piece. total weight of both the pieces is 1280g . if the weight of 1 cu. cm. of aluminium is 7.8g and that of barss is 8.9g find the volume of each piece
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let the volume of Aluminium piece = x cu.cm
then, volume of brass piece = 2x cu. cm
wt of 1cu.cm of Aluminium is = 7.8g
=> wt of x cu.cm of Aluminium is = 7.8*x g
wt of 1cu.cm of brass is = 8.9g
wt of 2x cu.cm of brass is = 8.9*2x g
therefore,
7.8*x + 8.9*2x = 1280
(7.8+17.8)*x = 1280
x = 1280/25.6
= 50
hence volume of Aluminium is 50cc and volume of BRASS is 2*50 = 100cc
then, volume of brass piece = 2x cu. cm
wt of 1cu.cm of Aluminium is = 7.8g
=> wt of x cu.cm of Aluminium is = 7.8*x g
wt of 1cu.cm of brass is = 8.9g
wt of 2x cu.cm of brass is = 8.9*2x g
therefore,
7.8*x + 8.9*2x = 1280
(7.8+17.8)*x = 1280
x = 1280/25.6
= 50
hence volume of Aluminium is 50cc and volume of BRASS is 2*50 = 100cc
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