SOLUTION: Specific gravity of gold: 19259 Specific gravity of quartz: 2652 Determine ounces of gold in an mass of 210 oz. of both, the specific gravity is 4562. Specific gravity is

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Specific gravity of gold: 19259 Specific gravity of quartz: 2652 Determine ounces of gold in an mass of 210 oz. of both, the specific gravity is 4562. Specific gravity is       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1102280: Specific gravity of gold: 19259
Specific gravity of quartz: 2652
Determine ounces of gold in an mass of 210 oz. of both, the specific gravity is 4562.
Specific gravity is the weight of a volume of a substance divided by the weight of the same amount of water.
Water weighs 62.5 lbs. per cu. ft.
Not sure how to continue.
Answer by ikleyn(52767) About Me  (Show Source):
You can put this solution on YOUR website!
.
Below is your input with my editing: 

Specific gravity of gold: highlight%28cross%2819259%29%29 19.259.


Specific gravity of quartz: highlight%28cross%282652%29%29 2.652.


Determine ounces of gold in an mass of 210 oz. of both, the specific gravity is highlight%28cross%284562%29%29 4.562.


Specific gravity is the weight of a volume of a substance divided by the weight of the same highlight%28cross%28amount%29%29 volume of water. 

Water weighs 62.5 lbs. per cu. ft.     <<<---=== In my solution I do not need this info.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


First step is to find the fraction "x" of the gold in 210 oz. of mixture of the specific gravity 4.562.


For it, use the density equation

    x*19.259 + (1-x)*2.652 = 4.562.


    19.259x + 2.652 - 2.652x = 4.562  ====>  16.607x = 4.562 - 2.652 = 1.91  ====>  x = 1.91%2F16.607 = 0.115.


So, the mass fraction of the gold in the mixture is 0.115.



Next step determine the mass of the gold in the mass of 210 oz of the mixture:

    gold mass = 0.115*210 = 24.15 oz.

Answer. The mass of the gold is 24.15 oz.


Solved.