Lesson 12Solving Problems About Percent Increase or Decrease
Learning Goal
Let’s use tape diagrams, equations, and reasoning to solve problems with negatives and percents.
Learning Targets
I can solve story problems about percent increase or decrease by drawing and reasoning about a tape diagram or by writing and solving an equation.
Warm Up: 20% Off
Problem 1
An item costs
Activity 1: Walking More Each Day
Problem 1
Mai started a new exercise program. On the second day, she walked 5 minutes more than on the first day. On the third day, she increased her walking time from day 2 by 20% and walked for 42 minutes. Mai drew a diagram to show her progress.
Explain how the diagram represents the situation.
Problem 2
Noah said the equation
Problem 3
Find the number of minutes Mai walked on the first day. Did you use the diagram, the equation, or another strategy? Explain or show your reasoning.
Problem 4
Mai has been walking indoors because of cold temperatures. On Day 4 at noon, Mai hears a report that the temperature is only 9 degrees Fahrenheit. She remembers the morning news reporting that the temperature had doubled since midnight and was expected to rise 15 degrees by noon. Mai is pretty sure she can draw a diagram to represent this situation but isn’t sure if the equation is
Activity 2: A Sale on Shoes
Problem 1
A store is having a sale where all shoes are discounted by 20%. Diego has a coupon for
Problem 2
Before the sale, the store had 100 pairs of flip flops in stock. After selling some, they notice that
Problem 3
When the store had sold
Problem 4
On the morning of the sale, the store donated 50 pairs of shoes to a homeless shelter. Then they sold 64% of their remaining inventory during the sale. If the store had 288 pairs after the donation and the sale, how many pairs of shoes did they have at the start?
Are you ready for more?
Problem 1
A coffee shop offers a special: 33% extra free or 33% off the regular price. Which offer is a better deal? Explain your reasoning.
Lesson Summary
We can solve problems where there is a percent increase or decrease by using what we know about equations. For example, a camping store increases the price of a tent by 25%. A customer then uses a $10 coupon for the tent and pays $152.50. We can draw a diagram that shows first the 25% increase and then the $10 coupon.
The price after the 25% increase is