Is the bracelet pure gold? How do you know?

Calculation and Explanation:

Density can be defined as the ratio of the mass and the volume of a substance. The formula of density is given as D = m/v, where D is the density of the object, m is the mass of the object, and v is the volume of the object.

Given that the mass of the bracelet is 50 grams and it displaces 4 cm³ of water (an object displaces an amount of water equal to its own volume when submerged), we can calculate the density of the bracelet using the formula D = m/v.

Substitute the given values into the formula:

D = 50 g / 4 cm³ = 12.5 g/cm³

Since the density of the bracelet (12.5 g/cm³) is not equal to the density of pure gold (19.3 g/cm³), we can conclude that the bracelet is not made of pure gold.