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Darius buys a bottle of a chemical solution that contains
70% alcohol. The bottle contains 500 milliliters of solution.
How many milliliters of alcohol are in the solution?
milliliters

Darius buys a bottle of a chemical solution that contains $70 \%$ alcohol. The bottle contains $500$ milliliters of solution. $\newline$ How many milliliters of alcohol are in the solution? $\newline$ milliliters

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Divide numbers ending in zeros: word problems

Full solution

Q. Darius buys a bottle of a chemical solution that contains

70 \%

alcohol. The bottle contains

500

milliliters of solution.

\newline

How many milliliters of alcohol are in the solution?

\newline

milliliters

Identify Problem: Understand the problem and identify the given values. $\newline$ We are given a $500$ milliliter solution that contains $70\%$ alcohol. We need to find out how many milliliters of alcohol this represents.
Use Percent Formula: Use the percent formula to find the part of the solution that is alcohol. $\newline$ The percent formula is: Percent (as a decimal) $\times$ Whole = Part $\newline$ Here, the percent (as a decimal) is $70\%$ or $0.70$ , and the whole is the total volume of the solution, which is $500$ milliliters.
Calculate Alcohol Amount: Calculate the amount of alcohol in milliliters. $\newline$ Using the formula from Step $2$ , we multiply the decimal form of the percentage by the total volume of the solution: $\newline$ $0.70 \times 500$ milliliters = $350$ milliliters
Verify Calculation: Verify the calculation to ensure there are no math errors. $\newline$ Rechecking the calculation: $0.70 \times 500 = 350$ . The calculation is correct.

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