Calculate Gift Wrapping Rate: 7 Gifts/Hour × 20 Hours Problem

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

Because Sonia wraps 7 gifts every single hour for 20 hours straight! Think of it as: 7 + 7 + 7... (20 times) = 7 × 20 = 140 gifts total.

Q: What if the problem asks for gifts per minute instead?

First convert! If she wraps 7 gifts per hour, that's $ \frac{7}{60} $ gifts per minute. Then multiply by the number of minutes given.

Q: How can I check if 140 gifts is reasonable?

Use estimation! Round 7 to 10 and calculate: 10 × 20 = 200 gifts. Since 140 is less than 200, and we rounded up, the answer makes sense.

Q: What if Sonia takes breaks during those 20 hours?

The problem assumes she works continuously at 7 gifts per hour. If breaks are mentioned, you'd need to subtract break time from the total working hours first.

Q: Can I use this same method for other rate problems?

Absolutely! The formula Rate × Time = Total works for: pages read per hour, miles driven per hour, problems solved per minute, etc.

Rate Multiplication with Time Intervals

If Sonia wraps 7 gifts per hour, then how many gifts does she wrap in 20 hours?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 How many gifts can Sarah wrap in 20 hours?

00:10 We're given the number of gifts she wraps per hour, and the total number of hours.

00:15 To find the answer, we'll use long multiplication.

00:19 Let's solve each part of the multiplication. We'll then combine them in the long multiplication method.

00:29 And that's how we find the total gifts. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

If Sonia wraps 7 gifts per hour, then how many gifts does she wrap in 20 hours?

Step-by-step solution

To determine how many gifts Sonia wraps in 20 hours when she wraps 7 gifts per hour, we will calculate as follows:

Step 1: Identify the rate: $7$ gifts per hour.
Step 2: Identify the time duration: $20$ hours.
Step 3: Use the formula: Total number of gifts = (Number of gifts per hour) × (Number of hours).
Step 4: Perform the calculation: $7 \text{ gifts/hour} \times 20 \text{ hours} = 140 \text{ gifts}$ .

Therefore, Sonia wraps $140$ gifts in 20 hours.

Comparing this result with the provided choices, we determine that the correct choice is: $140$ .

Final Answer

$140$

Key Points to Remember

Essential concepts to master this topic

Formula: Total output equals rate multiplied by time duration
Technique: Calculate $7 \text{ gifts/hour} \times 20 \text{ hours} = 140 \text{ gifts}$
Check: Divide total by time: $140 \div 20 = 7 \text{ gifts/hour}$ ✓

Common Mistakes

Avoid these frequent errors

Adding rate and time instead of multiplying
Don't calculate 7 + 20 = 27 gifts! This ignores that the rate continues for every hour. Always multiply rate × time to find total output over the given duration.

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 Sonia wraps 7 gifts every single hour for 20 hours straight! Think of it as: 7 + 7 + 7... (20 times) = 7 × 20 = 140 gifts total.

What if the problem asks for gifts per minute instead?

First convert! If she wraps 7 gifts per hour, that's $\frac{7}{60}$ gifts per minute. Then multiply by the number of minutes given.

How can I check if 140 gifts is reasonable?

Use estimation! Round 7 to 10 and calculate: 10 × 20 = 200 gifts. Since 140 is less than 200, and we rounded up, the answer makes sense.

What if Sonia takes breaks during those 20 hours?

The problem assumes she works continuously at 7 gifts per hour. If breaks are mentioned, you'd need to subtract break time from the total working hours first.

Can I use this same method for other rate problems?

Absolutely! The formula Rate × Time = Total works for: pages read per hour, miles driven per hour, problems solved per minute, etc.

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