Q69. - Algebra 1

Question

Find the discounted price of each item.

backpack: $\mathrm{\$}45$, discount: $25\%$.

Step-by-Step Solution

Answer

The discounted price of the items is $\mathrm{\$}33.75$

Step 1. Given information.

We have ‘backpack: $\mathrm{\$}45$, discount: $25\%$.

To find the discounted price of the items.

Step 2. Apply concept.

Firstly, we find the tax amount of the cost of the items then find the discounted price of the items by this formula.

$\text{Discounted price of the items}=\mathrm{Pr}\text{ice of the items}-\text{discount amount of the items}$

Step 3. Calculation.

The discount amount of the items is:

$\begin{array}{c}25\%\text{\hspace{0.17em}of 45=}\frac{25\times 45}{100}\\ =\frac{45}{4}\\ =\mathrm{\$}11.25\end{array}$

So, the discounted price of items is: 

$\begin{array}{l}\text{cost of items-discount amount}\\ \text{=\$45-\$11.25}\\ \text{=\$33.75}\end{array}$

Hence, the discounted price is $\mathrm{\$}33.75$.