Q4. - Algebra 1

Question

SALES A picture frame originally priced at $14.89 is on sale for 40% off. What is the discounted price?

Step-by-Step Solution

Answer

The discounted price of the picture frame is $9.925.

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 percentage decrease.

Step 2. Find the discount.

We are given that the Original price of the frame $=\$14.89$ and the discount available is 40%.

The amount reduction due to the discount is:

$\begin{array}{l}=\$14.89\times 40\%\\ =14.89\times \frac{40}{100}\\ =\frac{1489}{100}\times \frac{40}{100}\\ =\frac{59560}{10000}\\ =\$5.956\end{array}$

  

Step 3. Find the cost.

The discounted price of the picture frame is thus:

 $\begin{array}{l}\text{\$14.89 - \$5.956}\\ \text{= \$8.925}\end{array}$

Hence, the discounted price of the picture frame is $9.925.