Q32. - Algebra 1

Question

Find the discounted price of each item.

Athletic shoes: $59.99  

discount: 40%

Step-by-Step Solution

Answer

The discounted price of the athletic shoes is $35.994.

Step 1. Use the definition of the percentage change.

The percent change is the increase or decrease in the value of a quantity. If the new value is larger than the original value then it is a percent increase and if the change in value is lesser than the original value it is called a percentage decrease

Step 2. Concept of Discount.

Discount is a percentage of the original price that is subtracted from the price of the item the final price is called selling price. It is a percent of the decrease in the cost.

Step 3. Find the new price.

We are given the following price and the discount percentages:

Athletic shoes: $59.99  

discount: 40%

The discount is 40%  of the price. We will subtract this amount from the original price. 

So If x represents the new price after subtracting the discount then we have:

$\begin{array}{l}x=\text{Cost - Discount}\%\text{ of Cost}\\ x=\$59.99-40\%\times \$59.99\\ x=59.99-\frac{40}{100}\times 59.99\\ x=59.99-0.40\times 59.99\\ x=59.99-23.996\\ x=\$35.994\end{array}$

Thus, the discounted price of the athletic shoes is $35.994.