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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?

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?

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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. How many milliliters of alcohol are in the solution?

Identify Whole and Part: Understand the problem and identify the 'Whole' and the 'Part' in the given problem. The 'Whole' is the total amount of the solution, which is $500$ milliliters. The 'Part' we need to find is the amount of alcohol in the solution, which is $70\%$ of the whole.
Use Percent Formula: Use the percent formula to find the 'Part'. $\newline$ The percent formula is: $\text{Percent (as a decimal)} \times \text{Whole} = \text{Part}$ $\newline$ Here, the Percent is $70\%$ (or $0.70$ as a decimal), and the Whole is $500$ milliliters.
Plug Values: Plug the values into the percent formula to calculate the 'Part'. $\newline$ $0.70 \times 500$ milliliters = $\text{Part}$
Perform Calculation: Perform the calculation to find the amount of alcohol. $0.70 \times 500 = 350$ milliliters
Verify Result: Verify the calculation to ensure there are no math errors. $\newline$ $70\%$ of $500$ is indeed $350$ , as $10\%$ of $500$ is $50$ , and $7$ times $50$ is $350$ .

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