Ratios and Equivalent Ratios

Name:

Date:

📚 Part 1: Understanding Ratios

1. There are 4 basketballs and 6 soccer balls in the gym. Write the ratio of basketballs to soccer balls in three different ways:

a) Using a colon: ________________

b) Using the word "to": ________________

c) As a fraction: ________________

2. Which ratio is equivalent to 3:5?

6:10

5:3

3:8

9:12

3. Fill in the missing number to make equivalent ratios:

a) 2:3 = ____:12

b) 5:8 = 15:____

c) 4:7 = ____:21

🧮 Part 2: Real-World Applications

4. Recipe Problem: A lemonade recipe uses 2 cups of lemon juice for every 5 cups of water. If you want to make a batch with 10 cups of lemon juice, how many cups of water do you need?

Answer: ________ cups of water

5. Sports Team: On a basketball team, the ratio of wins to losses is 7:3. If the team has won 21 games, how many games have they lost?

Answer: ________ games lost

6. Classroom Supplies: The ratio of pencils to erasers in a supply box is 4:1. Which of these could represent the actual number of pencils and erasers? (Check all that apply)

12 pencils, 3 erasers

20 pencils, 5 erasers

8 pencils, 4 erasers

16 pencils, 4 erasers

🧠 Part 3: Challenge Problems

7. Juice Mix Challenge: A fruit punch recipe uses 3 cups of orange juice for every 2 cups of cranberry juice. How many cups of each juice are needed to make exactly 30 cups of punch?

Orange juice: ________ cups

Cranberry juice: ________ cups

8. Explain Your Thinking: Maya says that the ratios 6:8 and 9:12 are equivalent. Is she correct? Explain your reasoning and show your work.