Question

One solution is 10% acid and another is 4% acid. How many cubic centimeters (cc) of each should be mixed to obtain 150 cc of a solution that is 6% acid?

Answer 1

50 cc of 10% acid solution and 100 cc of 4% acid solution should be mixed.

Explanation

Suppose, the amount of 10% acid solution is $x$ cc.

As the amount of mixture solution is 150 cc, so the amount of 4% acid solution will be: $(150-x) cc.$

Given that, the percentage of acid in the mixture is 6% . So the equation will be.....

$0.10x+0.04(150-x)=0.06*150\\ \\ 0.10x+6-0.04x=9\\ \\ 0.06x=9-6=3\\ \\ x=\frac{3}{0.06}=50$

So, the amount of 10% acid solution is 50 cc and the amount of 4% acid solution is (150-50)cc = 100 cc