Calculate Monthly Expenditure: What Does Sebastian Spend with a $5000 Salary?

Q: How do I convert a percentage to a decimal?

Simply divide by 100 or move the decimal point two places left. For example: 75% = 75 ÷ 100 = 0.75, and 25% = 0.25.

Q: Why can't I just multiply 5000 by 75?

Because 75 and 75% are completely different numbers! 75% means $ \frac{75}{100} $ or 0.75. If you multiply by 75, you get 375,000 - way too much!

Q: What if the percentage doesn't come out to a whole number?

That's totally normal! Money calculations often involve cents, so you might get answers like $3,752.50. Just round to the nearest cent if needed.

Q: Can I solve this problem a different way?

Yes! You could also think: if he spends 75%, he saves 25%. So savings = $ 0.25 \times 5000 = 1250 $, then spending = $ 5000 - 1250 = 3750 $.

Q: Why do we use percentages in real life?

Percentages make it easy to compare different amounts! Whether someone earns $1000 or $10,000, spending 75% means the same proportion of their income.

Percentage Calculations with Real-World Applications

The salary Sebastian receives each month is 5000. He spends 75% of the money and saves the rest. How much does Sebastian spend per month?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Determine how much Sebastian spends out of his total salary

00:08 Convert percentages to fractions

00:14 Use the formula to convert percentages to fractions

00:19 Let's apply this formula to our exercise

00:23 Multiply the fraction by the total salary in order to determine the total amount of money spent

00:43 Break down 5000 into factors of 50 and 100

00:54 Reduce wherever possible

01:04 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

The salary Sebastian receives each month is 5000. He spends 75% of the money and saves the rest. How much does Sebastian spend per month?

Step-by-step solution

To solve this problem, we'll perform a percentage calculation to determine how much Sebastian spends:

Step 1: Identify the given information: Sebastian's salary is $5000$ , and he spends 75% of it.
Step 2: Calculate 75% of the salary. This is done using the formula: $\text{Amount spent} = \frac{75}{100} \times 5000$ .

Now, let's perform the calculation:
Step 1: Using the formula, compute $\frac{75}{100} \times 5000$ .

This calculation results in:

$\frac{75}{100} = 0.75$
$0.75 \times 5000 = 3750$

Therefore, the amount Sebastian spends per month is $3750$ .

Final Answer

3750

Key Points to Remember

Essential concepts to master this topic

Percentage Formula: Convert percent to decimal, then multiply by whole
Calculation Method: 75% = 0.75, so 0.75 × 5000 = 3750
Verification: Check that spending + savings = total salary: 3750 + 1250 = 5000 ✓

Common Mistakes

Avoid these frequent errors

Calculating percentage incorrectly by dividing instead of multiplying
Don't divide 5000 ÷ 75 = 66.67! This gives you how many 75s fit into 5000, not 75% of 5000. Always convert the percentage to a decimal (75% = 0.75) and multiply by the whole amount.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{24}{100}=\text{?}$

FAQ

Everything you need to know about this question

How do I convert a percentage to a decimal?

Simply divide by 100 or move the decimal point two places left. For example: 75% = 75 ÷ 100 = 0.75, and 25% = 0.25.

Why can't I just multiply 5000 by 75?

Because 75 and 75% are completely different numbers! 75% means $\frac{75}{100}$ or 0.75. If you multiply by 75, you get 375,000 - way too much!

How do I check if my percentage calculation is correct?

Add the amount spent and saved together - they should equal the original salary. Here: $3750 + 1250 = 5000$ ✓

What if the percentage doesn't come out to a whole number?

That's totally normal! Money calculations often involve cents, so you might get answers like $3,752.50. Just round to the nearest cent if needed.

Can I solve this problem a different way?

Yes! You could also think: if he spends 75%, he saves 25%. So savings = $0.25 \times 5000 = 1250$ , then spending = $5000 - 1250 = 3750$ .

Why do we use percentages in real life?

Percentages make it easy to compare different amounts! Whether someone earns $1000 or $10,000, spending 75% means the same proportion of their income.

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