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Unit Rates

Learn to find and use unit rates in real-world situations

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Unit Rates

What is a Rate?

A rate is a ratio that compares two different units.

Examples:

  • 60 miles in 2 hours
  • \15$ for 3 books
  • 150 words in 5 minutes

What is a Unit Rate?

A unit rate is a rate where the second quantity is 1 unit.

Examples:

  • 30 miles per 1 hour (30 mph)
  • \5$ per 1 book
  • 30 words per 1 minute

Finding Unit Rates

Divide the first quantity by the second quantity:

Unit Rate=First QuantitySecond Quantity\text{Unit Rate} = \frac{\text{First Quantity}}{\text{Second Quantity}}

Example: \12$ for 4 pounds 124=3 dollars per pound\frac{12}{4} = 3 \text{ dollars per pound}

Why Unit Rates Are Useful

Unit rates help us:

  • Compare prices (which is cheaper?)
  • Calculate speed
  • Make predictions
  • Plan and budget

📚 Practice Problems

1Problem 1easy

❓ Question:

A car travels 150 miles in 3 hours. What is the unit rate (speed)?

💡 Show Solution

Solution:

Divide distance by time: 150 miles3 hours=50 miles per hour\frac{150 \text{ miles}}{3 \text{ hours}} = 50 \text{ miles per hour}

Answer: 50 miles per hour (or 50 mph)

2Problem 2medium

❓ Question:

Store A sells 6 apples for \4.50.StoreBsells8applesfor. Store B sells 8 apples for $5.60$. Which store has the better price per apple?

💡 Show Solution

Solution:

Store A: $4.506=$0.75 per apple\frac{\$4.50}{6} = \$0.75 \text{ per apple}

Store B: $5.608=$0.70 per apple\frac{\$5.60}{8} = \$0.70 \text{ per apple}

Compare: \0.70 < $0.75$

Answer: Store B has the better price (\0.70$ per apple)

3Problem 3hard

❓ Question:

Jamie can type 240 words in 6 minutes. At this rate, how many words can Jamie type in 25 minutes?

💡 Show Solution

Solution:

Step 1: Find the unit rate 240 words6 minutes=40 words per minute\frac{240 \text{ words}}{6 \text{ minutes}} = 40 \text{ words per minute}

Step 2: Multiply by 25 minutes 40×25=1,000 words40 \times 25 = 1,000 \text{ words}

Answer: Jamie can type 1,000 words in 25 minutes

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Introduction to Ratios
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📌 Related Topics in Ratios and Rates

Introduction to Ratios

❓ Frequently Asked Questions

What is Unit Rates?▾
Learn to find and use unit rates in real-world situations
How can I study Unit Rates effectively?▾
Start by reading the study notes and working through the examples on this page. Then use the flashcards to test your recall. Practice with the 3 problems provided, checking solutions as you go. Regular review and active practice are key to retention.
Is this Unit Rates study guide free?▾
Yes — all study notes, flashcards, and practice problems for Unit Rates on Study Mondo are free to access. No account is needed.
What course covers Unit Rates?▾
Unit Rates is part of the Grade 6 Math course on Study Mondo, specifically in the Ratios and Rates section. You can explore the full course for more related topics and practice resources.
Are there practice problems for Unit Rates?▾
Yes, this page includes 3 practice problems with detailed solutions. Each problem includes a step-by-step explanation to help you understand the approach.