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 10 over 100 as a percentage:

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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