SOLUTION: Two alloys A and B contain gold and silver in the ratio 1:2 and 2:3 .A third alloy C is formed by mixing A and B in the ratio 5:6 .find the percentage of silver in the alloy C.

Question 697218: Two alloys A and B contain gold and silver in the ratio 1:2 and 2:3 .A third alloy C is formed by mixing A and B in the ratio 5:6 .find the percentage of silver in the alloy C.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I will say that I have units of A
and units of B. It doesn't matter
what the unit is.
I mix them to get units of C.
given:
Let = units of gold
Let = units of silver
-------------------------------
For alloy A:

--------------
For alloy B:

-------------------
Given:

-----------------
For alloy A:

---------------
For alloy B:

----------------
Adding up the gold, I get

Adding up the silver, I get

-------------------
I need to find
for alloy C

The percentage of silver is 63.333 %
------------
check answer:
units of silver
units of gold
------------

and

OK

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