Calculate 20% of $3000: Money Distribution Problem

Percentage Calculations with Money Distribution

George has $3000. He wants to give 20% of it to William and 25% to Alexander. How much money will William receive?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate many dollars William will receive?
00:04 Apply the formula to convert percentages to fractions
00:15 This fraction is equal to 20%
00:25 Multiply this fraction by the amount in order to determine William's share
00:33 Proceed to factorize and reduce wherever possible
00:52 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

George has $3000. He wants to give 20% of it to William and 25% to Alexander. How much money will William receive?

2

Step-by-step solution

To solve the problem, we will calculate the amount that William will receive by following these steps:

  • Step 1: Convert the percentage to a decimal by dividing by 100. Since William's portion is 20%, convert it to decimal: 0.20 0.20 .

  • Step 2: Multiply the total amount by this decimal to find William's share: 0.20×3000 0.20 \times 3000 .

Now, carrying out the multiplication:
0.20×3000=600 0.20 \times 3000 = 600
Thus, William will receive $600\$600.

Therefore, the solution to the problem is 600 600 , which corresponds to choice 3 in the options provided.

3

Final Answer

600

Key Points to Remember

Essential concepts to master this topic
  • Formula: Percentage of amount = decimal × total amount
  • Technique: Convert 20% to 0.20, then multiply: 0.20 × 3000 = 600
  • Check: Verify William gets 600 and Alexander gets 750 from total 3000 ✓

Common Mistakes

Avoid these frequent errors
  • Using percentage directly without converting to decimal
    Don't multiply 20 × 3000 = 60,000! This ignores that 20% means 20 out of 100, giving an impossibly large result. Always convert percentages to decimals first by dividing by 100.

Practice Quiz

Test your knowledge with interactive questions

Calculate 15% of 100:

FAQ

Everything you need to know about this question

How do I convert a percentage to a decimal?

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Simply divide by 100! For example, 20% ÷ 100 = 0.20, and 25% ÷ 100 = 0.25. You can also think of it as moving the decimal point two places left.

Why can't I just multiply 20 × 3000?

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Because 20% doesn't mean 20 whole units! The % symbol means "per hundred", so 20% = 20100 \frac{20}{100} = 0.20. Always convert first!

How can I check if my percentage calculation is correct?

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Ask yourself: Does my answer make sense? William should get less than half of $3000 since 20% < 50%. If your answer is $600, that's reasonable since $600 < $1500.

What's the difference between finding 20% and 25%?

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Just the decimal conversion! 20% = 0.20 and 25% = 0.25. Then multiply each by $3000: William gets 0.20 × 3000 = $600 and Alexander gets 0.25 × 3000 = $750.

Do William and Alexander get all of George's money?

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No! William gets 20% and Alexander gets 25%, so together they get 45% of the total. George keeps the remaining 55%, which is $1650.

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