Ratios That Describe Parts of a Whole

Which statement best describes what a ratio is.

• A number

• A comparison of two quantities using division.

• A comparison

• A comparison of many things.

When looking at Recess Choices, what could the ratio 14:15 represent?

• Soccer: Frisbee

• Frisbee: Flag Football

• Flag Football: Soccer

• Flag Football: Frisbee

The ratio of the number of students in choir who play an instrument to the number who do not play an instrument is shown by the tape diagram below.

What is the ratio of the number of students in choir who do NOT play an instrument to the total number of students in choir?

• 14:28

• 14:42

• 28:42

• 28:14

Alex visited an aquarium and went to his favorite attraction, Shark Lagoon. He walked through an underwater tunnel and counted different types of sharks. He counted 8 nurse sharks, 6 tiger sharks, and 4 hammerhead sharks.

Which ratio correctly compares the number of nurse sharks to the number of tiger sharks that he counted?

• 4:3

• 3:4

• 2:3

• 3:2

Janet is making vanilla pound cakes for the school bake sale. She is using the recipe shown below. Use the information from the recipe to fill in the blanks below. According to the recipe, for every 3 cups of flour ___________ cups of sugar are needed. This means that the ratio of sugar to flour in the recipe is 1 part sugar to _________ part/s flour. For every 6 cups of flour, _________ cups of sugar are used.

• 3, 2, 1

• 3, 1, 2

• 3, 1, 6

• 3, 3, 3

Jackie is making nectar to fill her hummingbird feeders. She adds 1 cup of syrup to 4 cups of water to make the nectar. She wrote equivalent ratios to see what ingredients are needed to make different-sized batches.

A. Use this scenario to help describe how ratios may differ from fractions. Use this scenario to describe how ratios are similar to fractions.

B. Describe how the process of making equivalent ratios is similar to the process of making equivalent fractions.

• A. Ratios are Fractions are the same.

  B. Ratios and Fractions can be simplified by adding and subtracting the same thing to top and bottom.

• A. Ratios are Fractions are similar because they can both be Part to Part.

  B. Ratios and Fractions can be simplified by adding and subtracting the same thing to top and bottom.

• A. Ratios are Fractions are similar because they can both be Part to Whole.

  B. Ratios and Fractions can be simplified by adding and subtracting the same thing to top and bottom.

• A. Ratios are Fractions are similar because they can both be Part to Whole.

  B. Ratios and Fractions can be simplified by multiplying and dividing the same thing on top and bottom.

David grows pepper plants on his farm every summer. He grows jalapeno peppers and bell peppers. This summer he changed the soil. He created the table below to see how much he grew this summer compared to last summer.

A) Determine the following ratios:

1. this summer’s crop in pounds to last summer’s crop for bell peppers _____________________

2. this summer’s crop in pounds to last summer’s crop for jalapeno peppers_________________

3. this summer’s total pepper crop in pounds to last summer’s total crop____________________

B) David would like to tell other farmers who grow peppers about his experience with the new soil. Look at the statements below.

1. “The ratio of this year’s pepper crop to last year’s pepper crop is 2:1.”

2. “Compared to last year, my pepper crop has increased by 50 pounds.”

Which of the two statements above could best help another farmer predict how the new soil might affect their crops? Explain why in your answer.

• A) 85:40, 15:10, 100:50

  B) Option 1 because it is a ratio and provides a more detailed description comparing both years.

• A) 85:40, 15:10, 100:50

  B) Option 2 because it is more specific

• A) 40:85, 10:15, 50:100

  B) Option 1 because it is a ratio and provides a more detailed description comparing both years.

Misty has a saltwater aquarium. To fill her aquarium she makes batches of salt water that have 15 cups of sea salt mixture to 20 gallons of water. At this rate, how many cups of the sea salt mixture would be needed to mix with 75 gallons of saltwater for her aquarium? Use any strategy you choose to find the equivalent ratio to solve this problem.

• 60

• 66.26

• 56.25

On World Book Day, students could dress up like their favorite book character for extra credit. In a grade 6 class, 8 out of 12 girls wore costumes, and 5 out of 10 boys wore costumes. Which statements correctly describe the number of students in the class who dressed up for World Book Day? Select all true statements.

• Of the girls in the class, 23 wore a costume.

• One out of every 2 boys wore a costume.

• The ratio of students who wore a costume to the total number of students in the class is 13 to 22.

• The ratio of the number of students who wore a costume to the number of students who did not wear a costume is 13:22.

Mrs. Anderson sells flowering plants at her nursery. For one type of plant, customers can order flats of plants that come in a ratio of 3 white-flowered plants to 4 purple-flowered plants. She created the chart below to show the equivalent ratios of white-flowered plants to purple-flowered plants for different-sized flats. Plot the points from the chart on the coordinate graph below to show the equivalent ratios of white-flowered plants to purple-flowered plants for different-sized flats. For this question - which points should be on the graph. SELECT ALL THAT APPLY

• (3,4)

• (6,8)

• (12,9)

• (12,16)