# Eureka Math Grade 6 Module 1 Lesson 28 Answer Key

## 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 × $$\frac{2}{10}=\frac{800}{10}$$ =$80
$80 discount How much is the sale price? Answer: 80% = $$\frac{80}{100}=\frac{8}{10}$$ 400 × $$\frac{8}{10}=\frac{3200}{10}$$ =$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 Joshua’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

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