Can you help me with my Precalculus?

Question

im really struggling. The question reads “How much 60% acid solution must be added to 20 ml of 30% solution to achieve a 50% acid solution?”

i am so lost :(

Answer 1

You can actually set up an algebraic expression in order to solve this one!

20(0.3) + x(0.6) = (x + 20)(0.5)

From there then it’s just a matter of solving that for the value of x algebraically

6 + 0.6x = 0.5x + 10

0.1x = 4

x = 40

What that means is that you need 40 mL of the 60% solution in order to reach the desired level. I hope that helps! :)