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Lesson Menu Five-Minute Check (over Lesson 6–1) Main Idea and Vocabulary Example 1:Equivalent Ratios of Larger Quantities Example 2:Equivalent Ratios of Smaller Quantities Example 3:Use Scaling Example 4:Use a Ratio Table

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Main Idea/Vocabulary ratio table equivalent ratio scaling Use ratio tables to represent and solve problems involving equivalent ratios.

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Example 1 Equivalent Ratios of Larger Quantities BEANS A recipe calls for 5 cups of water for each cup of pinto beans. Use the ratio table to find how many cups of water should be used for 4 cups of pinto beans. Method 1Find a pattern and extend it. For 2 cups of beans, you would need a total of 5 + 5 or 10 cups of water.

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Example 1 Equivalent Ratios of Larger Quantities Continue this pattern until you reach 4 cups. Method 2Multiply each quantity by the same number. Since 1 × 4 = 4, multiply each quantity by 4.

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Example 1 Equivalent Ratios of Larger Quantities Answer: So, you would need 20 cups of water for 4 cups of beans.

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1.A 2.B 3.C 4.D Example 1 A.11 cups B.13 cups C.15 cups D.17 cups PUNCH A recipe for punch calls for 3 cups of juice for every cup of soda. Use the ratio table to find how many cups of juice should be used for 5 cups of soda.

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Example 2 Equivalent Ratios of Smaller Quantities SPIDERS Texas has over 900 species of spiders. Use the ratio table to find how many legs a spider has. Divide each quantity by one or more common factors until you reach a quantity of 1 spider. Answer: So, a spider has 8 legs.

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1.A 2.B 3.C 4.D Example 2 A.3 windows B.4 windows C.5 windows D.6 windows WINDOWS Each apartment in Jaromes apartment building has the same number of windows. Use the ratio table to find how many windows each apartment in the building has.

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Example 3 Use Scaling CLOTHING Coco used 12 yards of fabric to make 9 blouses. Use the ratio table to find the number of blouses she could make with 20 yards of fabric. There is no whole number by which you can multiply 12 to get 20. So, scale back to 4 and then scale forward to 20.

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Example 3 Use Scaling Divide each quantity by a common factor, 3. Then, since 4 × 5 = 20, multiply each quantity by 5. Answer: So, Coco could make 15 blouses with 20 yards of fabric.

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1.A 2.B 3.C 4.D Example 3 A.12 bottles B.14 bottles C.15 bottles D.18 bottles PAINT Mrs. Wallace ordered 8 bottles of paint for 18 students. Use the ratio table to find the number of bottles of paint she would need to order for 27 students.

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Example 4 PACKAGING It takes a worker 70 minutes to pack 120 cartons of books. The worker has 14 minutes of work left. Use a ratio table to find how many cartons of books the worker can pack in 14 minutes. Set up a ratio table. Use a Ratio Table Label the rows with the two quantities being compared. Then fill in what is given.

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Example 4 Use a Ratio Table Answer: The worker can pack 24 cartons of books in 14 minutes. Divide each quantity by a common factor, 10. Then, since 7 × 2 = 14, multiply each quantity by 2. Use scaling to find the desired quantity.

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1.A 2.B 3.C 4.D Example 4 A.8 cards B.10 cards C.12 cards D.14 cards CARDS Maya wrote 18 thank you cards in 15 minutes. She has 10 minutes to work on her thank you cards before tennis practice. Use a ratio table to find how many cards she can write in 10 minutes.

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End of the Lesson

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Resources Five-Minute Check (over Lesson 6–1) Image Bank Math Tools Ratios and Tangrams Ratios

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1.A 2.B 3.C 4.D Five Minute Check 1 Write the ratio as a fraction in simplest form. 12 apples to 8 oranges (over Lesson 6-1) A. B. C. D.

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1.A 2.B 3.C 4.D Five Minute Check 2 Write the ratio as a fraction in simplest form. 30 chocolate candies to 100 candies (over Lesson 6-1) A. B. C. D.

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1.A 2.B 3.C 4.D Five Minute Check 3 Write the rate as a unit rate. 8 rolls for $1.76 (over Lesson 6-1) A. B. C. D.

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1.A 2.B 3.C 4.D Five Minute Check 4 Write the rate as a unit rate. 325 miles in 5 hours (over Lesson 6-1) A. B. C. D.

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1.A 2.B 3.C 4.D Five Minute Check 5 Write the rate as a unit rate. 200 words in 5 minutes (over Lesson 6-1) A. B. C. D.

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1.A 2.B 3.C 4.D Five Minute Check 6 Adam has 52 pennies and Stephen has 130 pennies. Write the ratio of Adams pennies to Stephens pennies as a fraction in simplest form. (over Lesson 6-1) A. B. C. D.

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