Calculate Total Seats: 5 Halls × 30 Average Seats per Hall

Q: Why do I multiply the average by the number of halls?

The average tells you how many seats are in each hall on average. To find the total, you need to add up all 5 halls, which is the same as multiplying: $ 30 + 30 + 30 + 30 + 30 = 30 \times 5 $

Q: What if the halls don't all have exactly 30 seats?

That's okay! An average means some halls might have more than 30 seats and others might have fewer. The total is still $ 30 \times 5 = 150 $ seats.

Q: How can I check if my answer makes sense?

Think logically: if each hall has about 30 seats and there are 5 halls, you should get around $ 5 \times 30 = 150 $ seats total. Much smaller or larger numbers are probably wrong!

Q: Is there a difference between 'average' and 'mean'?

No difference! Average and mean are the same thing. Both tell you the typical value when you add everything up and divide by the count.

Q: What's the formula for finding totals from averages?

The formula is: Total = Average × Number of ItemsIn this problem: $ \text{Total seats} = 30 \times 5 = 150 $

Total Calculation with Average Values

A sports center has 5 halls.

If the average number of seats in each hall is 30, then how many seats are there in total in the center?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

A sports center has 5 halls.

If the average number of seats in each hall is 30, then how many seats are there in total in the center?

Step-by-step solution

To solve this problem, we'll begin by applying the steps outlined previously.

Step 1: Identify the given information. We know that there are 5 halls in the sports center, and the average number of seats per hall is 30.
Step 2: Use the formula for calculating the total from an average. The formula is:

$\text{Total} = \text{Average} \times \text{Number of Halls}$

Step 3: Plug in the given values into the formula. We have:

$\text{Total} = 30 \times 5$

Calculate the result:

Perform the multiplication: $30 \times 5 = 150$ .

Therefore, the total number of seats in the sports center is $150$ .

Final Answer

$150$

Key Points to Remember

Essential concepts to master this topic

Formula: Total equals average multiplied by number of items
Technique: Calculate $30 \times 5 = 150$ total seats
Check: Divide total by number: $150 ÷ 5 = 30$ average ✓

Common Mistakes

Avoid these frequent errors

Adding average to number of halls instead of multiplying
Don't add 30 + 5 = 35 seats! This gives far too few seats because you're not accounting for all halls. Always multiply: average × number of items gives the total.

Practice Quiz

Test your knowledge with interactive questions

Calculate the average of $$ 10 $$ and $$ 12 $$ .

FAQ

Everything you need to know about this question

Why do I multiply the average by the number of halls?

The average tells you how many seats are in each hall on average. To find the total, you need to add up all 5 halls, which is the same as multiplying: $30 + 30 + 30 + 30 + 30 = 30 \times 5$

What if the halls don't all have exactly 30 seats?

That's okay! An average means some halls might have more than 30 seats and others might have fewer. The total is still $30 \times 5 = 150$ seats.

How can I check if my answer makes sense?

Think logically: if each hall has about 30 seats and there are 5 halls, you should get around $5 \times 30 = 150$ seats total. Much smaller or larger numbers are probably wrong!

Is there a difference between 'average' and 'mean'?

No difference! Average and mean are the same thing. Both tell you the typical value when you add everything up and divide by the count.

What's the formula for finding totals from averages?

The formula is: Total = Average × Number of Items
In this problem: $\text{Total seats} = 30 \times 5 = 150$

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