Density measurements can be used to analyze mixtures. For example, the density of solid sand (without air spaces) is about 2.84 g/mL. The density of gold is 19.3 g/mL. If a 1.00 kg sample of sand containing some gold has a density of 3.10 g/mL (without air spaces), what is the percentage of gold in the sample

Following are the responses to the given question:

Explanation:

Let S = solid sandy mass inside the blend

Let G = gold mass in such a blend

We search that percent G by mass

Mixture density = total blend mass / total blend volume = 3.10 g/mL

Mixture sum

Complete mixing volume = sand volume + gold volume volume

Complete mixing volume

Total mixture volume:

When

Solving equation:

When  

it is a solid

explanation: