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