Question

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

Answer 1

The answer 

m is the density of iron, and M is the copper's. so m=M=101.5g

the mass of 3 cm3 of iron is 6.8g ≥ the mass of 2 cm3 of copper.

first, we know the formula

m= d x v, where m is the mass, d is the density and v is the volume;

the density of the iron is d= m /v (from the formula m= d x v). It is d= 6.8/3=2.26 g/cm3. It was assumed that m≥M=d x 2, so 6.8≥2xd, it implies 

d is less than 3.4, (d≤6.8/2=3.4)

so the density of the copper is d ≤ 3.4

Answer 2

Answer:

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

t is d= 6.8/3=2.26 g/cm3. It was assumed that m≥M=d x 2, so 6.8≥2xd, it implies  

d is less than 3.4, (d≤6.8/2=3.4)

so the density of the copper is d ≤ 3.4

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