## Engage NY Eureka Math 6th Grade Module 1 Lesson 24 Answer Key

### Eureka Math Grade 6 Module 1 Lesson 24 Exercise Answer Key

Exercise 1

Robb’s Fruit Farm consists of 100 acres on which three different types of apples grow. On 25 acres, the farm grows Empire apples. Mcintosh apples grow on 30% of the farm. The remainder of the farm grows Fuji apples. Shade in the grid below to represent the portion of the farm each type of apple occupies. Use a different color for each type of apple. Create a key to identify which color represents each type of apple.

Answer:

Exercise 2

The shaded portion of the grid below represents the portion of a granola bar remaining.

What percent does each block of granola bar represent?

Answer:

1% of the granola bar

What percent of the granola bar remains?

Answer:

80%

What other ways can we represent this percent?

Answer:

\(\frac{80}{100}, \frac{8}{10}, \frac{4}{5}, \frac{16}{20}, \frac{32}{40}, \frac{64}{80}, 0.8\)

Exercise 3.

a. For each figure shown, represent the gray shaded region as a percent of the whole figure. Write your answer as a decimal, fraction, and percent.

Answer:

b. What ratio is being modeled in each picture?

Answer:

Picture (a): Answers will vary. One example is the ratio of darker gray to the total is 20 to 100.

Picture (b): 50 to 100, or a correct answer for whichever description they chose.

Picture (c): The ratio of gray to the total Is 48 to 100.

c. How are the ratios and percents related?

Answer:

Answers will vary.

Exercise 4

Each relationship below compares the shaded portion (the part) to the entire figure (the whole). Complete the table.

Answer:

Exercise 5

Mr. Brown shares with the class that 70% of the students got an A on the English vocabulary quiz. If Mr. Brown has 100 students, create a model to show how many of the students received an A on the quiz.

Answer:

70% → \(\frac{70}{100}=\frac{7}{10}\)

What fraction of the students received an A on the quiz?

Answer:

\(\frac{7}{10}\) or \(\frac{70}{100}\)

How could we represent this amount using a decimal?

Answer:

0.7 or 0.70

How are the decimal, the fraction, and the percent all related?

Answer:

The decimal, fraction, and percent all show 70 out of 100.

Exercise 6

Marty owns a lawn mowing service. His company, which consists of three employees, has 100 lawns to mow this week. Use the 10 × 10 grid to model how the work could have been distributed between the three employees.

Answer:

Students choose how they want to separate the workload. The answers will vary. Below is a sample response.

### Eureka Math Grade 6 Module 1 Lesson 24 Problem Set Answer Key

Question 1.

Marissa just bought 100 acres of land. She wants to grow apple, peach, and cherry trees on her land. Color the model to show how the acres could be distributed for each type of tree. Using your model, complete the table.

Answer:

Question 2.

After renovations on Kim’s bedroom, only 30 percent of one wall is left without any décor. Shade the grid below to represent the space that is left to decorate.

Answer:

a. What does each block represent?

Answer:

Each block represents \(\frac{1}{100}\) of the total wall.

b. What percent of this wall has been decorated?

Answer:

30%

### Eureka Math Grade 6 Module 1 Lesson 24 Exit Ticket Answer Key

Question 1.

One hundred offices need to be painted. The workers choose between yellow, blue, or beige paint. They decide that 45% of the offices will be painted yellow; 28% will be painted blue, and the remaining offices will be painted beige. Create a model that shows the percent of offices that will be painted each color. Write the amounts as decimals and fractions.

Answer: