Multiplication Word Problem: Calculate 51 Muffins × 8 Hours Production

Q: Why do I multiply instead of add the numbers?

Because the bakery produces 51 muffins each hour for 8 different hours! Think of it as 51 + 51 + 51 + 51 + 51 + 51 + 51 + 51 = 8 groups of 51 = $ 51 \times 8 $.

Q: How do I know which number is the rate?

Look for words like "per hour," "each," "every," or "in one." Here, "51 muffins in one hour" tells us 51 is the hourly rate.

Q: What if the problem asked for a different number of hours?

The method stays the same! Just multiply 51 muffins/hour by whatever number of hours the problem gives you. The rate (51) doesn't change.

Q: Can I double-check my multiplication?

Yes! Use the fact that $ 51 \times 8 = 51 \times (10 - 2) = 510 - 102 = 408 $. Or check: $ 50 \times 8 = 400 $, plus $ 1 \times 8 = 8 $, so $ 400 + 8 = 408 $.

Q: Why does my answer need to make sense in real life?

Always think: "Is this reasonable?" If a bakery makes 51 muffins per hour, making 408 in 8 hours sounds realistic. If you got 59, that would be less than 2 hours of production!

Multiplication Word Problems with Rate Calculations

A bakery sells 51 muffins in one hour.

How many do they sell in 8 hours?

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Step-by-step video solution

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00:00 How many pitas are sold in 8 hours?

00:03 Given: number of pitas per hour, number of hours

00:07 We will use long multiplication to calculate

00:11 We will solve each multiplication separately and then place it in the long multiplication

00:28 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

A bakery sells 51 muffins in one hour.

How many do they sell in 8 hours?

Step-by-step solution

To solve this problem, we'll determine the total number of muffins sold in 8 hours using the given hourly rate.

Step 1: Identify the given information: The bakery sells 51 muffins in one hour, and we need to calculate for 8 hours.
Step 2: Use the multiplication formula: $\text{Total muffins} = \text{Muffins per hour} \times \text{Number of hours}$
Step 3: Perform the multiplication: $51 \text{ muffins/hour} \times 8 \text{ hours} = 408 \text{ muffins}$

Thus, the total number of muffins sold in 8 hours is $408$ .

Final Answer

$408$

Key Points to Remember

Essential concepts to master this topic

Formula: Total = Rate per unit × Number of units
Technique: Multiply 51 muffins/hour × 8 hours = 408 muffins
Check: Divide answer by hours: 408 ÷ 8 = 51 muffins/hour ✓

Common Mistakes

Avoid these frequent errors

Adding instead of multiplying the rate and time
Don't add 51 + 8 = 59 muffins! This treats hours as extra muffins rather than multiplying periods. This completely ignores that production continues for each hour. Always multiply rate × time for total production.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I multiply instead of add the numbers?

Because the bakery produces 51 muffins each hour for 8 different hours! Think of it as 51 + 51 + 51 + 51 + 51 + 51 + 51 + 51 = 8 groups of 51 = $51 \times 8$ .

How do I know which number is the rate?

Look for words like "per hour," "each," "every," or "in one." Here, "51 muffins in one hour" tells us 51 is the hourly rate.

What if the problem asked for a different number of hours?

The method stays the same! Just multiply 51 muffins/hour by whatever number of hours the problem gives you. The rate (51) doesn't change.

Can I double-check my multiplication?

Yes! Use the fact that $51 \times 8 = 51 \times (10 - 2) = 510 - 102 = 408$ . Or check: $50 \times 8 = 400$ , plus $1 \times 8 = 8$ , so $400 + 8 = 408$ .

Why does my answer need to make sense in real life?

Always think: "Is this reasonable?" If a bakery makes 51 muffins per hour, making 408 in 8 hours sounds realistic. If you got 59, that would be less than 2 hours of production!

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