Question

Marie mixes 16 liters of 18% acid solution with a 27% acid solution which results in 21% acid solution.

Find the number of liters of 27% solution in the new mixture.


8 liters
12 liters
13.7 liters
16 liters

Answer 1

16 liters of 18% acid solution has: (16 * 0.18) liters of acid
x liters of 27% acid solution has: (x * 0.27) liters of acid
When you mix them you have (16 + x) liters of 21% acid solution which has [(16 + x) * 0.21] liters of acid

Therefore, (16 * 0.18) + (x * 0.27) = (16 + x) * 0.21
Solve for x.

Answer 2

Thank you!

Answer 3

You are welcome.