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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% 70 \% alcohol. The bottle contains 500500 milliliters of solution.\newlineHow many milliliters of alcohol are in the solution?\newlinemilliliters

Full solution

Q. Darius buys a bottle of a chemical solution that contains 70% 70 \% alcohol. The bottle contains 500500 milliliters of solution.\newlineHow many milliliters of alcohol are in the solution?\newlinemilliliters
  1. Identify Problem: Understand the problem and identify the given values.\newlineWe are given a 500500 milliliter solution that contains 70%70\% alcohol. We need to find out how many milliliters of alcohol this represents.
  2. Use Percent Formula: Use the percent formula to find the part of the solution that is alcohol.\newlineThe percent formula is: Percent (as a decimal) ×\times Whole = Part\newlineHere, the percent (as a decimal) is 70%70\% or 0.700.70, and the whole is the total volume of the solution, which is 500500 milliliters.
  3. Calculate Alcohol Amount: Calculate the amount of alcohol in milliliters.\newlineUsing the formula from Step 22, we multiply the decimal form of the percentage by the total volume of the solution:\newline0.70×5000.70 \times 500 milliliters = 350350 milliliters
  4. Verify Calculation: Verify the calculation to ensure there are no math errors.\newlineRechecking the calculation: 0.70×500=3500.70 \times 500 = 350. The calculation is correct.

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