Question

a chemist is using 334 milliliters of a solution of acid and water. if 14.4% of the solution is acid, how many milliliters of acid are there? round your answer to the nearest tenth

Explanation:

Step1: Convert percentage to decimal

To find the amount of acid, we need to convert 14.4% to a decimal. We do this by dividing 14.4 by 100. So, $14.4\%=0.144$.

Step2: Calculate amount of acid

We multiply the total volume of the solution (334 milliliters) by the decimal - equivalent of the percentage of acid. Let $V$ be the volume of acid. Then $V = 334\times0.144$.
$V=334\times0.144 = 48.096$.

Step3: Round to nearest tenth

Rounding 48.096 to the nearest tenth, we look at the digit in the hundredths place (9). Since 9 is greater than or equal to 5, we round up the digit in the tenths place. So, $48.096\approx48.1$.

Answer:

48.1