## 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?
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.  ### 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?
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?
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. 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