Question

Achemist wishes to mix a solution that is 10% adid. She has on hand 6 Iters of a 8% acid solution and wishes to add some 16% acid solution to obtain the desired 10% acid solution. How much 14% acid solution should she add?Complete the tableLiters ofPercent AcidLiters of

Answer 1

Given

Alchemist wishes to mix a solution that is 10% acid.

She has on hand 6 liter of a 8% acid solution and wishes to add some 16% acid solution to obtain the desired 10% acid solution. H

To find: ow much 146 acid solution should she add?

Step-by-step explanation:

It is given that,

Alchemist wishes to mix a solution that is 10% acid.

Let x be the amount o acid mixed to obtain the desired 10% solution.

Since she has on hand 6 liters of a 8% acid solution and wishes to add some 16% acid solution to obtain the desired 10% acid solution.

Then,

`\begin{gathered} 6l\text{ }of\text{ }8\%+16\%\text{ }of\text{ }x=10\%\text{ }of\text{ }(6+x) \\ 6*(8)/(100)+(16)/(100)* x=(10)/(100)*(6+x) \\ (48)/(100)+(16x)/(100)=(10)/(100)(6+x) \\ 48+16x=10(6+x) \\ 48+16x=60+10x \\ 16x-10x=60-48 \\ 6x=12 \\ x=(12)/(6) \\ x=2 \end{gathered}`

Hence, she should add 2 liters of acid solution.