Name: _________________________________________ HR: _________ Date: _____________________ Practice with Ratio Tools Class Work A. The Moon and Stars Sharonda makes necklaces for her friends. This is a popular design she makes with star-shaped beads and moonshaped beads. Sharonda wants to make a longer necklace with beads in the same pattern. If she plans to use 36 moon beads, how many star-shaped beads will she need? Show your work below: Answer: __________________________________ B. Lemonade Here is a lemonade recipe. (The cup marked “L” is one cup of lemon juice. The cup marked “W” is one cup of water.) L L L W W How many cups of lemon juice are needed for a batch of lemonade that has a total of 75 cups? Show your work below: Answer: __________________________________ MA_Ratios_Lesson06_Classwork.doc Using TDs & RTs to solve ratio problems C. Skate Park City officials in Boston are considering building a skate park under the Zakim bridge. Because it is so expensive they surveyed residents to see if there is interest in the park. For every one person opposed to the skate park there were two people in favor of it. In all, 4,500 people were surveyed. How many were in favor of the new skate park? Show your work below: Answer: __________________________________ D. Salad Dressing It is easy and inexpensive to make your own delicious salad dressing at home. The ratio of vegetable oil to vinegar is always the same no matter how much dressing you make. a. Complete the table. Vegetable oil (in tbsp) Vinegar (in tbsp) 9 3 12 4 Total Dressing (in tbsp) 5 7 27 b. If you use 24 tbsp of vegetable oil, how many total tbsp of salad dressing can you make? Show any additional work below: Answer: __________________________________ MA_Ratios_Lesson06_Classwork.doc Using TDs & RTs to solve ratio problems Name: _________________________________________ HR: _________ Date: _____________________ Expert Group A – Solution Description A. The Moon and Stars Sharonda makes necklaces for her friends. This is a popular design she makes with star-shaped beads and moonbeads. shaped Sharonda wants to make a longer necklace with beads in the same pattern. If she plans to use 36 moon beads, how many star-shaped beads will she need? Show your work below: Answer: __________________________________ Explain how to solve the problem. Use bullet points to organize what you will say to your group. ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ MA_Ratios_Lesson06_Classwork.doc Using TDs & RTs to solve ratio problems Name: _________________________________________ HR: _________ Date: _____________________ Expert Group B – Solution Description B. Lemonade Here is a lemonade recipe. (The cup marked “L” is one cup of lemon juice. The cup marked “W” is one cup of water.) L L L W W How many cups of lemon juice are needed for a batch of lemonade that has a total of 75 cups? Show your work below: Answer: __________________________________ Explain how to solve the problem. Use bullet points to organize what you will say to your group. ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ MA_Ratios_Lesson06_Classwork.doc Using TDs & RTs to solve ratio problems Name: _________________________________________ HR: _________ Date: _____________________ Expert Group C – Solution Description C. Skate Park City officials in Boston are considering building a skate park under the Zakim bridge. Because it is so expensive they surveyed residents to see if there is interest in the park. For every one person opposed to the skate park there were two people in favor of it. In all, 4,500 people were surveyed. How many were in favor of the new skate park? Show your work below: Answer: __________________________________ Explain how to solve the problem. Use bullet points to organize what you will say to your group. ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ MA_Ratios_Lesson06_Classwork.doc Using TDs & RTs to solve ratio problems Name: _________________________________________ HR: _________ Date: _____________________ Expert Group D – Solution Description D. Salad Dressing It is easy and inexpensive to make your own delicious salad dressing at home. The ratio of vegetable oil to vinegar is always the same no matter how much dressing you make. a. Complete the table. Vegetable oil (in tbsp) Vinegar (in tbsp) 9 3 12 4 Total Dressing (in tbsp) 5 7 27 b. If you use 24 tbsp of vegetable oil, how many total tbsp of salad dressing can you make? Show your work below: Answer: __________________________________ Explain how to solve the problem. Use bullet points to organize what you will say. ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ MA_Ratios_Lesson06_Classwork.doc Using TDs & RTs to solve ratio problems Name: _________________________________________ HR: _________ Date: _____________________ Expert Group D – Solution Description Challenge Extension Problems c. Look at the table you created. Can you write an equation to represent the relationship between oil and vinegar? Here are some food ratios to practice first. Every number is in tablespoons. Custard Recipe Milk 8 Sausage Recipe Egg Meat 2 6 4 9 18 10 16 Egg Milk Sugar 40 2 12 3 3 80 4 6 100 M= 5 24 7 M = 2E Cream Sauce Recipe Oil Fat 8 Mayonnaise Recipe 7 O= 6 32 M= Can you write an equation for the oil and vinegar in the salad dressing recipe? Dressing Recipe Oil Vinegar 9 3 12 4 O = ____________________ d. Graphing: You can also use the numbers from your table to plot the relationship between oil and vinegar. Try it! 5 7 27 O= Recipe Reference: Ratio by Michael Ruhlman MA_Ratios_Lesson06_Classwork.doc Oil Vinegar Using TDs & RTs to solve ratio problems Name: _________________________________________ HR: _________ Date: _____________________ Practice with Ratio Tools Homework A. Shower Tiles Here is a pattern for shower tiles that Mrs. to have installed in her bathroom. Clarkson would like 1. What is the ratio of gray tiles to white tiles in the pattern? Write your answer in lowest terms. ________________ 2. What is the ratio of gray tiles to total tiles? ____________ Write your answer in lowest terms. 3. What is the ratio of white tiles to total tiles? ____________ Write your answer in lowest terms. 4. The entire shower contains 810 tiles. How many white tiles does it have? Use the tape diagram tool or the ratio table tool to find your answer. Show your work below: Answer: _________________________ 5. If Mrs. Clarkson would like the area behind her bathroom sink tiled with the same pattern it will require 135 tiles. How many gray tiles would it require? Use the tape diagram tool or the ratio table tool to find your answer. Draw the diagram below: MA_Ratios_Lesson06_Classwork.doc Using TDs & RTs to solve ratio problems B. The Piano Write all of your responses in lowest terms. Answer: ________________________ 1. What is the ratio of white keys to black keys on the keyboard? ________________ 2. This pattern of keys is repeated on larger keyboards. How many black keys would you expect to find on a keyboard with 56 white keys? Show your work: Answer: ___________________ 3. What is the ratio of black keys to all keys on this keyboard? ________________ 4. How many black keys would you expect to find on a keyboard with 72 keys in all? Show your work: Answer: ___________________ C. Compost Angela made some compost using 1 part coffee grounds, 6 parts food waste, 12 parts leaves, and 7 parts grass. She wants to adjust the mix so that it is 1/3 food waste. Which adjustment will work? a. b. c. d. Add 2 more parts food waste and 2 more parts grass. Add 4 more parts food waste. Add 5 more parts food waste. Add 4 more parts food waste and 4 more parts leaves. Show your work: MA_Ratios_Lesson06_Classwork.doc Using TDs & RTs to solve ratio problems
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