Exercise 5 Page 665

We know both an arm chair and a sofa have the same retail price. Let's denote it as x.

We will find the price after discount of both these items and compare them. Let's begin with the sofa.

In order to find the discounted price of the sofa, we need to subtract the discount from the original price. Original price- Discount= New price First, we have to find the cost subtracted by the discount, which is 20 % of x. We can evaluate the value of the discount by multiplying the original price by the discount rate. Discount: 20 % * x = 0.2 x By subtracting 0.2x from x, we get the new price of the sofa including the discount. x- 0.2x= 0.8x We can include the price of the sofa after the discount in the table.

Now, let's look at the information given about the arm chair.

This time the discount is 10 % of x. Let's find it. Discount: 10 % * x = 0.1 x By subtracting 0.1x from x, we get the price of the arm chair including the first discount. x- 0.1x= 0.9x We have a coupon to get additional 10 % off the discount price of 0.9x. Let's calculate the second discount. Discount: 10 % * 0.9x = 0.1* 0.9x = 0.09 x In order to obtain the final price of the arm chair, we need to subtract 0.09 x from 0.9x, which is the price of the arm chair including the first discount. 0.9x - 0.09x = 0.81x We can include the price of the sofa after the discount in the table.

Finally we can compare the prices of the items. We see the items are not equally priced after the discounts are applied.