Finding the OG - Percent Increase/Decrease

Front

What is the formula to find the original price after a percentage decrease?

Back

Original Price = Sale Price / (1 - Percentage Decrease)

Tags

CCSS.6.RP.A.3C

Front

What is the formula to find the original price after a percentage increase?

Back

Original Price = New Price / (1 + Percentage Increase)

Tags

CCSS.6.RP.A.3C

Front

If a class has decreased by 25% and now has 21 students, how do you find the original number of students?

Back

Let x be the original number of students. Then, x - 0.25x = 21, which simplifies to 0.75x = 21. Thus, x = 21 / 0.75 = 28.

Tags

CCSS.6.RP.A.3C

Front

How do you calculate the original price of an item that has been discounted?

Back

Original Price = Discounted Price / (1 - Discount Percentage)

Tags

CCSS.6.RP.A.3C

Front

What does a 30% discount mean in terms of original price?

Back

A 30% discount means the item is sold for 70% of its original price.

Tags

CCSS.6.RP.A.3C

Front

If a temperature increases by 2%, how do you find the previous temperature?

Back

Let y be the previous temperature. Then, y + 0.02y = Current Temperature, or 1.02y = Current Temperature. Thus, y = Current Temperature / 1.02.

Tags

CCSS.6.RP.A.3C

Front

What is the relationship between percentage decrease and original value?

Back

Percentage decrease is calculated as (Original Value - New Value) / Original Value.

Tags

CCSS.6.RP.A.3C

Front

How do you find the percentage increase from one value to another?

Back

Percentage Increase = (New Value - Original Value) / Original Value.

Tags

CCSS.6.RP.A.3C

Front

If a car is sold for $22,000 after a 20% decrease, how do you find the original price?

Back

Let x be the original price. Then, x - 0.20x = 22000, which simplifies to 0.80x = 22000. Thus, x = 22000 / 0.80 = 27500.

Tags

CCSS.6.RP.A.3C

Front

What is the meaning of a 15% discount on a laptop priced at $1000?

Back

A 15% discount means the laptop is sold for 85% of its original price, which is $1000 * 0.85 = $850.

Tags

CCSS.6.RP.A.3C