The mass of 4.5 cm3 of iron and 8 cm3 of copper is equal to 101.5g. the mass of 3 cm3 of iron is 6.8g greater than the mass of 2 cm3 of copper. find the density of iron and the density of copper

The density of iron is 7.8 g/cm³ and density of copper is 8.3g/cm³

Step-by-step explanation:

The mass of 4.5 cm³ of iron and 8 cm³ of copper is equal to 101.5g.

The mass of 3 cm³of iron is 6.8g greater than the mass of 2 cm³ of copper.

Let the density of iron be x g/cm³ and density of copper be y g/cm³

Mass = Volume x Density

For sentence: "The mass of 4.5 cm³ of iron and 8 cm³ of copper is equal to 101.5"

For sentence: "The mass of 3 cm³of iron is 6.8g greater than the mass of 2 cm³ of copper"

Now we will solve for x and y using elimination method.

Add both equation and eliminate y

Put x=7.8 into equation 1

Hence, The density of iron is 7.8 g/cm³ and density of copper is 8.3g/cm³

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