Question

A store is having a sale in which all items are 20% off. If p is the original price of an item, then the equation p minus 0.2 p equals 0.8 p can be used to find the sale price.
 
Which statement does the equation represent?
Answer options with 4 options
A.
Decreasing the original price by 20% is the same as dividing the original price by 80%.
B.
Decreasing the original price by 80% is the same as dividing the original price by 20%.
C.
Decreasing the original price by 20% is the same as multiplying the original price by 80%.
D.
Decreasing the original price by 80% is the same as multiplying the original price by 20%.

Answer 1

To analyze the equation \( p - 0.2p = 0.8p \):

1. \( p \) represents the original price of the item.
2. \( 0.2p \) represents the amount of discount (20% of the original price).
3. \( p - 0.2p \) calculates the sale price by subtracting the discount from the original price, leaving \( 0.8p \) (which is the sale price).

The equation \( p - 0.2p = 0.8p \) can be interpreted as follows:

- The left side represents the original price minus the discount, while the right side is the sale price after applying a 20% discount.

This can be expressed in words as:

**C. Decreasing the original price by 20% is the same as multiplying the original price by 80%.**

Therefore, the correct answer is **C**.