Question

a chemist is using 374 milliliters of a solution of acid and water. if 15.3% of the solution is acid, how many milliliters of acid are there? round your answer to the nearest tenth. milliliters

Explanation:

Step1: Convert percentage to decimal

To find the amount of acid, we first convert \(15.3\%\) to a decimal. \(15.3\%=\frac{15.3}{100}=0.153\).

Step2: Calculate the amount of acid

We know the total volume of the solution is \(374\) milliliters. The amount of acid \(A\) is given by the formula \(A = \text{Total volume}\times\text{Percentage of acid (in decimal)}\). So \(A=374\times0.153\).

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Step3: Round to the nearest tenth

Rounding \(57.232\) to the nearest tenth. The digit in the hundredth place is \(3\lt5\), so we keep the digit in the tenth place as it is. So \(57.232\approx57.2\).

Answer:

\(57.2\)