Question

Achemist wishes to mix a solution that is 10% acid She has on hand 6ters of a 8% acid solution and wishes to add some 14% acid solution to obtain the desired 10% acid solution. How much 16% acid solution should she add?Complete the tableLiters ofPure AcidLiters of Percent AcidSolution (as a decimal)60.080.140.10(Do not simply)

Answer 1

Given

A chemist wishes to mix a solution that is 8% acid.

She has on hand 8 liters of a 2% acid solution and wishes to add some 12% acid solution to obtain the desired 8% acid solution.

To find: How much 12% acid solution should she add?

Explanation:

It is given that,

A chemist wishes to mix a solution that is 8% acid.

She has on hand 8 liters of a 2% acid solution and wishes to add some 12% acid solution to obtain the desired 8% acid solution.

Now, Let x be the liters of acid added to obtain the desired 8% acid solution.

Then,

$\begin{gathered} 8\times2\%+x\times12\%=8\%(8+x) \\ 8\times\frac{2}{100}+x\times\frac{12}{100}=\frac{8}{100}(8+x) \\ \frac{16}{100}+\frac{12x}{100}=\frac{8(8+x)}{100} \\ 16+12x=64+8x \\ 12x-8x=64-16 \\ 4x=48 \\ x=\frac{48}{4} \\ x=12 \end{gathered}$

Hence, 12liters of acid is added to 12% acid solution.