SOLUTION: A chemist is studying the properties of a bronze alloy (mixture) of copper and tin. She begins with 2kg of an alloy that is one half tin. Keeping the amount of copper constant, she

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A chemist is studying the properties of a bronze alloy (mixture) of copper and tin. She begins with 2kg of an alloy that is one half tin. Keeping the amount of copper constant, she      Log On


   



Question 115312This question is from textbook Functions Modeling Change
: A chemist is studying the properties of a bronze alloy (mixture) of copper and tin. She begins with 2kg of an alloy that is one half tin. Keeping the amount of copper constant, she adds small amounts of tin to the alloy. Letting x be the total amount of tin added, define
C(x) = Concentration of tin = total amount of tin / total amount of alloy
Question: Find a formula for C(x)

What I have so far: C(x) = x/ total amount of alloy
--I dont understand how to find the total amount of the alloy. It says she begins with 2kg but she adds small amounts of tin to it. Would the total be 2kg? I'm confused

This question is from textbook Functions Modeling Change

Answer by ganesh(20) About Me  (Show Source):
You can put this solution on YOUR website!
The starting weight of the alloy = 2 kg and one half of it is tin.
That is 1 kg of the starting weight is tin.
Now, x amount of tin is added with the alloy and copper is remained constant.
So, the total amount of tin after the new addition is 1 + x.
The total weight of the alloy = 2 + x.
So, C(x) = Total amount of tin / total amount of alloy = (1 + x)/(2 +x).