The Solution.
Let the amount of solution A in the mixture be represented with x.
So, we have the equation below:
(70% of x) + 95%(160 -x) = 85% of 160
[tex]0.7x+0.95\mleft(160-x\mright)=0.85\mleft(160\mright)[/tex]Clearing the brackets, we get
[tex]0.7x+152-0.95x=136[/tex]Collecting the like terms, we get
[tex]\begin{gathered} 0.7x-0.95x=136-152_{} \\ -0.25x=-16 \end{gathered}[/tex]Dividing both sides by -0.25, we get
[tex]x=\frac{-16}{-0.25}=64\text{ ounces}[/tex]So, solution A is 64 ounces.
While that of solution B is
[tex]160-64=96\text{ ounces}[/tex]Hence, the correct answer is:
solution A is 64 ounces while solution B is 96 ounces.