Question

dawn schmidt is a chemist. she needs to prepare 36 ounces of a 10% hydrochloric acid solution. find the amount of 18% solution and the amount of 9% solution she should mix to get this solution.
how many ounces of the 18% acid solution should be in the mixture?
4 ounces
how many ounces of the 9% acid solution should be in the mixture?
ounces

Explanation:

Step1: Set up equations

From the amount of solution: \(x + y=36\) (where \(x\) is the amount of \(9\%\) solution and \(y\) is the amount of \(18\%\) solution).
From the amount of pure acid: \(0.09x + 0.18y=0.1\times36\).

Step2: Solve the system of equations

From \(x + y=36\), we get \(y = 36 - x\).
Substitute \(y = 36 - x\) into \(0.09x+0.18y = 0.1\times36\):

$$
LATEXBLOCK0
$$

Substitute \(x = 32\) into \(y=36 - x\), we get \(y=36 - 32=4\).

Answer:

The amount of \(9\%\) acid solution is \(32\) ounces and the amount of \(18\%\) acid solution is \(4\) ounces.