When making bricks, the craftsmen kneaded 3 masses of dry mixture with a density of 1500 kg / m 3 and 2

When making bricks, the craftsmen kneaded 3 masses of dry mixture with a density of 1500 kg / m 3 and 2 masses of water with a density of 1000 kg / m 3. What is the density of the brick?

Task data: m1 (dry mixture mass) = 3m; ρ1 (dry mixture density) = 1500 kg / m3; m1 (mass of water) = 2m; ρ2 (density of used water) = 1000 kg / m3.

The density of the resulting brick can be determined by the formula: ρ = m / V = (m1 + m2) / (V1 + V2) = (3m + 2m) / (m1 / ρ1 + m2 / ρ2) = 5m / (3m / ρ1 + 2m / ρ2) = 5 / (3 / ρ1 + 2 / ρ2).

Let’s calculate: ρ = 5 / (3/1500 + 2/1000) = 1250 kg / m3.

Answer: The craftsmen made a brick with a density of 1250 kg / m3.