Calculate 25% of 124 Tables: Finding Chinese Manufacturing Count

Q: Why can't I just find 75% of 124 directly?

You absolutely can! Since 75% were made in China, you could calculate $ \frac{75}{100} \times 124 = 93 $. Both methods give the same answer.

Q: What does 'complement' mean in percentage problems?

A complement means the remaining part that adds up to 100%. If 25% are from Holland, then 75% must be from China because 25% + 75% = 100%.

Q: How do I convert 25% to a decimal?

Divide the percentage by 100: 25 ÷ 100 = 0.25. Then multiply: 0.25 × 124 = 31 tables from Holland.

Q: Can I solve this without using decimals?

Yes! Use fractions: 25% = 25/100 = 1/4. So $ \frac{1}{4} \times 124 = 31 $ tables from Holland.

Q: Why subtract instead of add at the end?

Because we need the remaining tables! We found how many were made in Holland (31), so China made the rest: Total - Holland = China.

Percentage Calculations with Complement Problems

In total there are 124 tables in a room. A number of tables were manufactured in Holland whilst the remaining tables were manufactured in China.

If 25% of the tables were manufactured in Holland determine how many tables were manufactured in China?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Determine how many tables were manufactured in China

00:03 Use the formula to convert the percentage into a fraction

00:09 The fraction is equal to 75%

00:16 Multiply this fraction by the number of tables in order to determine the number from China

00:24 Here is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

In total there are 124 tables in a room. A number of tables were manufactured in Holland whilst the remaining tables were manufactured in China.

If 25% of the tables were manufactured in Holland determine how many tables were manufactured in China?

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Calculate the number of tables manufactured in Holland using the given percentage.
Step 2: Subtract that number from the total number of tables to find how many were manufactured in China.

Now, let's work through each step:
Step 1: The problem states that 25% of the tables were manufactured in Holland. We can calculate this quantity as follows:
$\text{Tables in Holland} = \frac{25}{100} \times 124 = 31$

Step 2: To find the number of tables manufactured in China, we subtract the number of tables manufactured in Holland from the total:

$\text{Tables in China} = 124 - 31 = 93$

Therefore, the number of tables manufactured in China is $93$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Percentage Rule: Convert percent to decimal by dividing by 100
Technique: Find Holland tables first: $\frac{25}{100} \times 124 = 31$
Check: Verify Holland + China = total: 31 + 93 = 124 ✓

Common Mistakes

Avoid these frequent errors

Calculating 25% of China tables instead of Holland tables
Don't find 25% of the remaining tables = wrong starting point! This gives you a percentage of an unknown quantity. Always calculate the percentage of the total given amount first.

Practice Quiz

Test your knowledge with interactive questions

Calculate 15% of 100:

FAQ

Everything you need to know about this question

Why can't I just find 75% of 124 directly?

You absolutely can! Since 75% were made in China, you could calculate $\frac{75}{100} \times 124 = 93$ . Both methods give the same answer.

What does 'complement' mean in percentage problems?

A complement means the remaining part that adds up to 100%. If 25% are from Holland, then 75% must be from China because 25% + 75% = 100%.

How do I convert 25% to a decimal?

Divide the percentage by 100: 25 ÷ 100 = 0.25. Then multiply: 0.25 × 124 = 31 tables from Holland.

Can I solve this without using decimals?

Yes! Use fractions: 25% = 25/100 = 1/4. So $\frac{1}{4} \times 124 = 31$ tables from Holland.

What if the percentage doesn't divide evenly?

That's normal! For example, if it were 30% of 124, you'd get 37.2 tables. In real problems, you might need to round depending on the context.

Why subtract instead of add at the end?

Because we need the remaining tables! We found how many were made in Holland (31), so China made the rest: Total - Holland = China.

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