What quantity of 65 percent acid solution must be mixed with a 30 percent solution to produce 945 mL of a...

Question

What quantity of 65 percent acid solution must be mixed with a 30 percent solution to produce 945 mL of a 50 percent solution?

SnapAndSolve AI · Accepted Answer

Let x be the amount of 65% solution, and y be the amount of 30% solution. We have the following system of equations:

From the first equation, y = 945 - x. Substitute into the second equation:

0.65x + 0.30(945 - x) = 472.5

0.65x + 283.5 - 0.30x = 472.5

0.35x = 189

x = 540

So, 540 mL of the 65% solution is needed.

Answer