Solve multi-step ratio and rate problems using proportional reasoning, including fractional price increase and decrease, commissions, and fees.
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If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problems 1 and 3 (benefits from worked example). Find more guidance on adapting our math curriculum for remote learning here.
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Peter’s Pants Palace advertises the following sale:
If a pair of shoes costs $40, what is the sale price?
A pair of pants usually sells for $33. What is the sale price of the pants?
Grade 7 Mathematics > Module 1 > Topic C > Lesson 14 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
A phone case is on sale for $${{1\over3}}$$ off the original price. Terry purchased the phone case at this discounted price for $24. What is the original price of the phone case?
An autographed baseball card of Pedro Martinez was originally worth $240. In 2015, when the retired player was inducted into the Baseball Hall of Fame, the value of the card increased in value by $$\frac{1}{5}$$ its original value. What is the new value of the card?
A motorcycle dealer paid a certain price for a motorcycle and marked it up by $${{1\over5}}$$ of the price he paid. Later, he sold it for $14,000. What is the original price?
Solve this using two different strategies.
Grade 7 Mathematics > Module 1 > Topic C > Lesson 14 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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A furniture store offers a deal to new customers. On your first purchase, you can use a $$\frac{1}{4}$$ discount on the price of any table.
Brian is a new customer at the store and wants to buy a table that originally costs $$$96$$. What discounted price would Brian pay for the table?
A washing machine is on sale, and its price is marked down by $$\frac{1}{5}$$ of its original price. The sale price of the washing machine is $$$304$$. What is the original price of the washing machine before the discount?
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