## Engage NY Eureka Math 6th Grade Module 1 Lesson 28 Answer Key

### Eureka Math Grade 6 Module 1 Lesson 28 Example Answer Key

Example 1.

If an item is discounted 20%, the sale price is what percent of the original price?

Answer:

100 – 20 = 80

80%

If the original price of the item is $400, what is the dollar amount of the discount?

Answer:

20% = \(\frac{20}{100}=\frac{2}{10}\)

400 Ã— \(\frac{2}{10}=\frac{800}{10}\) = $80

$80 discount

How much is the sale price?

Answer:

80% = \(\frac{80}{100}=\frac{8}{10}\)

400 Ã— \(\frac{8}{10}=\frac{3200}{10}\) = $320, or 400 – 80 = $320

$320 sale price

### Eureka Math Grade 6 Module 1 Lesson 28 Exercise Answer Key

Exercise 1.

The following items were bought on sale. Complete the missing information in the table.

Answer:

### Eureka Math Grade 6 Module 1 Lesson 28 Problem Set Answer Key

Question 1.

The Sparkling House Cleaning Company has cleaned 28 houses this week. If this number represents 40% of the total number of houses the company is contracted to clean, how many total houses will the company clean by the end of the week?

Answer:

70 houses

Question 2.

Joshua delivered 30 hives to the local fruit farm. If the farmer has paid to use 5% of the total number of Joshuaâ€™s hives, how many hives does Joshua have in all?

Answer:

600 hives

### Eureka Math Grade 6 Module 1 Lesson 28 Exit Ticket Answer Key

Question 1.

Write one problem using a dollar amount of $420 and a percent of 40%. Provide the solution to your problem.

Answer:

Answers will vary.

Problems that include $420 as the sale price should include $700 as the original. Because 40% is saved, 60% is paid of the original. Therefore, the original price is $700.

Problems that include $420 as the original price and a 40% discount should include $252 as a sale price. Below is an example of a tape diagram that could be included In the solution.

Question 2.

The sale price of an item is $160 after a 20% off discount. What was the original price of the item?

Answer:

Because the discount was 20%, the purchase price was 80% of the original.

80% = \(\frac{80}{100}=\frac{160}{200}\)

The original price was $200