Lesson 02: Ratios and Rates with Fractions | Unit 4: Proportional Relationships and Percentages

Multiple Choice

A cyclist rode $$3\frac{3}{4}$$ miles in $$\frac{3}{10}$$ hour. How fast was she going in miles per hour?

• 4.1667 miles per hour
• 2.5 miles per hour
• 5 miles per hour
• 3 miles per hour

Multiple Choice

A cyclist rode $$3\frac{3}{4}$$ miles in $$\frac{3}{10}$$ hour. At that rate, how long will it take her to go $$4\frac{1}{2}$$ miles?

• 1 hour and 30 minutes
• 1 hour and 5 minutes
• 45 minutes
• 2 hours

Multiple Choice

A recipe for making incense sticks calls for 6 tablespoons of joss powder, $$1\frac12$$ teaspoons of frankincense, and $$\frac34$$ teaspoon of myrrh. To make incense sticks that would smell the same, how much of the other two ingredients would you need to mix with 4 tablespoons of joss powder?

• 1 teaspoon of frankincense and 0.5 teaspoons of myrrh
• 0.5 teaspoons of frankincense and 1 teaspoon of myrrh
• 1.5 teaspoons of frankincense and 0.25 teaspoons of myrrh
• 2 teaspoons of frankincense and 1 teaspoon of myrrh

Multiple Choice

A recipe for making incense sticks calls for 6 tablespoons of joss powder, $$1\frac12$$ teaspoons of frankincense, and $$\frac34$$ teaspoon of myrrh. To make incense sticks that would smell the same, how much of the other two ingredients would you need to mix with 9 tablespoons of joss powder?

• 1.5 teaspoons of frankincense and 0.75 teaspoons of myrrh
• 2.25 teaspoons of frankincense and 1.125 teaspoons of myrrh
• 3 teaspoons of frankincense and 1.5 teaspoons of myrrh
• 2 teaspoons of frankincense and 0.5 teaspoons of myrrh

Multiple Choice

A recipe for making incense sticks calls for 6 tablespoons of joss powder, $$1\frac12$$ teaspoons of frankincense, and $$\frac34$$ teaspoon of myrrh. To make incense sticks that would smell the same, how much of the other two ingredients would you need to mix with 1 teaspoon of myrrh?

• 24 teaspoons of joss powder and 2 teaspoons of frankincense
• 30 teaspoons of joss powder and 3 teaspoons of frankincense
• 18 teaspoons of joss powder and 1 teaspoon of frankincense
• 12 teaspoons of joss powder and 1 teaspoon of frankincense

Open Ended

At a deli counter, someone bought $$1 \frac34$$ pounds of ham for \ $$14.50, someone bought <katex latex=$$ pounds of turkey for \">26.25, and someone bought $$\frac38$$ pound of roast beef for \$5.50. Which meat is the least expensive per pound? Explain how you know.

Open Ended

At a deli counter, someone bought $$1 \frac34$$ pounds of ham for \ $$14.50, someone bought <katex latex=$$ pounds of turkey for \">26.25, and someone bought $$\frac38$$ pound of roast beef for \$5.50. Which meat is the most expensive per pound? Explain how you know.

Multiple Choice

Here are several recipes for sparkling lemonade. For each recipe, describe how many tablespoons of lemonade mix it takes per cup of sparkling water. 1. 4 tablespoons of lemonade mix and 12 cups of sparkling water.

• 1 tablespoon per cup
• 2 tablespoons per cup
• 1/4 tablespoon per cup
• 1/3 tablespoon per cup

Multiple Choice

How many tablespoons of lemonade mix does it take per cup of sparkling water if the recipe uses 4 tablespoons of lemonade mix and 6 cups of sparkling water?

• 0.67 tablespoons
• 2 tablespoons
• 0.5 tablespoons
• 1 tablespoon

Multiple Choice

Here are several recipes for sparkling lemonade. For each recipe, describe how many tablespoons of lemonade mix it takes per cup of sparkling water. 3. 3 tablespoons of lemonade mix and 5 cups of sparkling water.

• 0.4 tablespoons per cup
• 0.6 tablespoons per cup
• 2 tablespoons per cup
• 1 tablespoon per cup