Calculate 60% of 140: Finding the Number of Adults in a Group

Q: Why do I need to convert 60% to 0.6?

Percentages are just another way to write fractions! 60% means 60 out of 100, which equals $ \frac{60}{100} = 0.6 $. You need the decimal form to multiply properly.

Q: Can I solve this using fractions instead?

Absolutely! You can calculate $ \frac{60}{100} \times 140 = \frac{8400}{100} = 84 $. Both methods give the same answer - use whichever feels more comfortable!

Q: How do I check if 84 is really 60% of 140?

Divide your answer by the total: 84 ÷ 140 = 0.6. Convert back to percentage: 0.6 × 100 = 60%. Perfect match!

Q: What if the percentage was something like 37.5%?

Same process! Convert 37.5% to 0.375, then multiply: 0.375 × 140 = 52.5. The decimal method works for any percentage.

Q: Why does this problem mention adults and children?

Real-world context helps you understand what you're calculating! It's asking for part of a group, which is exactly what percentages help us find in everyday situations.

Percentage Calculations with Real-World Applications

A group of 140 adults and children went on a trip:

If 60% of those on the trip were adults, how many adults were there in total?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:08 First, let's find out how many adults went on the trip.

00:17 We will use the formula to change percentages into fractions.

00:26 Here, this fraction is equal to sixty percent.

00:40 Next, multiply this fraction by the total travelers to get the number of adults.

00:56 Break it down into factors and simplify as much as possible.

01:31 And that's how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

A group of 140 adults and children went on a trip:

If 60% of those on the trip were adults, how many adults were there in total?

Step-by-step solution

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

Step 1: Identify the total number of people, which is 140.
Step 2: Recognize that 60% of these are adults.
Step 3: Convert 60% into a decimal fraction: $\frac{60}{100} = 0.6$ .
Step 4: Multiply the total number of people by the decimal fraction: $0.6 \times 140$ .

Now, let's perform the calculation:
Step 1: We have 140 people in total.
Step 2: 60% of these are adults.
Step 3: Converting 60% to a decimal gives us 0.6.
Step 4: Multiply 0.6 by 140:

$0.6 \times 140 = 84$

Therefore, the number of adults in the group is 84.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Convert percentage to decimal by dividing by 100
Technique: Multiply total by decimal: $0.6 \times 140 = 84$
Check: Verify 84 is 60% of 140: 84 ÷ 140 = 0.6 = 60% ✓

Common Mistakes

Avoid these frequent errors

Forgetting to convert percentage to decimal
Don't multiply 140 × 60 = 8,400! This gives a massive wrong answer because you used the percentage directly instead of as a decimal. Always convert 60% to 0.6 first, then multiply.

Practice Quiz

Test your knowledge with interactive questions

Calculate 15% of 100:

FAQ

Everything you need to know about this question

Why do I need to convert 60% to 0.6?

Percentages are just another way to write fractions! 60% means 60 out of 100, which equals $\frac{60}{100} = 0.6$ . You need the decimal form to multiply properly.

Can I solve this using fractions instead?

Absolutely! You can calculate $\frac{60}{100} \times 140 = \frac{8400}{100} = 84$ . Both methods give the same answer - use whichever feels more comfortable!

How do I check if 84 is really 60% of 140?

Divide your answer by the total: 84 ÷ 140 = 0.6. Convert back to percentage: 0.6 × 100 = 60%. Perfect match!

What if the percentage was something like 37.5%?

Same process! Convert 37.5% to 0.375, then multiply: 0.375 × 140 = 52.5. The decimal method works for any percentage.

Why does this problem mention adults and children?

Real-world context helps you understand what you're calculating! It's asking for part of a group, which is exactly what percentages help us find in everyday situations.

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