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Esteban has a big jar of change in his room. He has 600 coins total, and 240 of them are pennies.
What percentage of the coins are pennies?

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Esteban has a big jar of change in his room. He has 600600 coins total, and 240240 of them are pennies.\newlineWhat percentage of the coins are pennies?\newline% \%

Full solution

Q. Esteban has a big jar of change in his room. He has 600600 coins total, and 240240 of them are pennies.\newlineWhat percentage of the coins are pennies?\newline% \%
  1. Use Percent Formula: Use the percent formula: Percent (as a decimal) ×\times Whole = Part. Identify the Percent, Whole, and Part in the given problem. The percent formula becomes: Percentage of pennies ×\times Total number of coins = Number of pennies.
  2. Identify Values: Choose the correct option to find the equation after plugging in the values. Use xx for the unknown value. After plugging in the values the equation becomes: x×600=240x \times 600 = 240.
  3. Solve for Unknown: We found: x×600=240x \times 600 = 240. Solve for xx by isolating it on one side of the equation. Dividing both sides of the equation by 600600, we get: ((x×600)/600)=(240/600)((x \times 600) / 600) = (240 / 600) x=240/600x = 240 / 600 x=0.4x = 0.4.
  4. Convert to Percent: Convert 0.40.4 into a percent. 0.40.4 (0.4×1000.4 \times 100)% 4040%.
  5. Final Percentage: What percentage of coins are pennies? Percentage of pennies: 40%40\%.