Ring

The gold and copper alloy rings weigh 14.5 g and have a volume of 1.03 cm3. How much gold and copper does each ring contain?
The metal densities are Au 19.3 g/cm³ and Cu 8.94 kg·dm-3

Final Answer:

a =  9.8583 g
c =  4.6417 g

Step-by-step explanation:

ρ1​=19.3 g/cm3 ρ2​=8.94 kg/dm3 m=14.5 g V=1.03 cm3  m =  ρV V = m/ρ  a+c=m a/ρ1​+c/ρ2​=V a+c=14.5 a/19.3+c/8.94=1.03  0.051813a+0.111857c=1.03  Row2−0.051813471502591⋅ Row1→Row2 0.06c=0.28  c=0.060043350.27870466​=4.64172394 a=14.5−c=14.5−4.64172394=9.85827606=9.8583 g  a=9.858276 c=4.641724

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algebraUnits of physical quantitiesthemes, topicsGrade of the word problem

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