Gallery Problems Exercise

Sales

Work Time

Sales

Sales, sales, sales! They are everywhere around you. You know the signs, and you know that you have to be careful.

Assume the items at both stores below are of the same quality.

  1. Look at the two signs. Are you sure you get the best deals at the store that offers the 50% discount? Where can you get the best deal for each item?

    Look at the following table.

    If the original price per item at Sports Unlimited is a dollars, then the discount price can be expressed as a – 0.5a, or as (1 – 0.5)a.

  2. If the original price per item at Cheap Sports is b dollars, then the discount price can be expressed in similar ways. Give the three ways the discount price at Cheap Sports can be expressed.

  3. After the sale, the stores get new collections, and prices go up. At Sports Unlimited, each price is now 5% greater than the original price. At Cheap Sports, each price is now 10% greater than the original price. Give three expressions for the new prices, using a notation similar to the notations used in problem 2.
  4. Suppose the new price of an item can be expressed as follows:

    1.08 • (original price)

    What is the percent change from the original price?