Question 275411
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Tutor mananth made an error when writing 0.04x as it should be 0.04*6 instead.
Solving 0.04*6+0.1x = 0.06*(x+6) leads to x = 3 as tutor ikleyn has shown, and as I show below.


Tutor josgarithmetic made an error on the last step. It should be 6*(0.06-0.04)/(0.1-0.06)
The "1" should be "0.1" instead
That expression evaluates to 3.
I think it's beneficial to simplify along the way to avoid a sea of numbers. 


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Here's how I would solve the problem.


x = amount of the 10% solution in liters


We have 6 liters of the 4% solution.
That contributes 0.04*6 = 0.24 liters of pure silver so far.


We add x liters of the 10% solution.
So we add 0.1x liters of pure silver to get 0.24+0.1x liters of pure silver total.


This is out of 6+x liters of solution of silver and other elements.



(amount of pure silver)/(amount of solution) = 6% goal
(0.24+0.1x)/(6+x) = 0.06
0.24+0.1x = 0.06(6+x)
0.24+0.1x = 0.36+0.06x
0.1x-0.06x = 0.36-0.24
0.04x = 0.12
x = 0.12/0.04
<font color=red>x = 3</font>



Answer: <font color=red>3 liters</font>
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