A sweater is regularly $32. It is 25% off the original price this week.

a. Would the amount the shopper saved be considered the part, whole, or percent?

b. How much would a shopper save by buying the sweater this week? Show two methods for finding your answer.

A. Whole.

B. $8

Step-by-step explanation:

We must consider the price of the sweater as whole since it represents the full price of the item. The discount might be a limited only offer and does not represent the fullest price of the sweater.

To find how much a shopper would save by buying the sweater we have two methods that in the end are going to lead to the same conclusion. The long method is to represent mathematically the information presented. Conceptually, we could interpret the statement saying that the original price minus 25% of the original price is equal to the original price minus the saving or discount. Let us say the Original Price (OP) = x. then, mathematically we represent the statement as:

x-0,25*x=x-discount

Replacing with the values from the statement, we would have that:

32-0,25*32=32-discount

discount=$8

Having only one unknown value, it is easy to find it. A more direct approach is to define the discount equal to the 25% off applied to the item. Therefore:

discount=0,25*x=0,25*32=$8

It is simpler this way, however both methods lead to the same conclusion.