How to Redee $\newline$ david baszuck $\newline$ IXL | Percer $\newline$ * Discount, Ra $\newline$ คก $57 \%$ $\newline$ khanacademy.org $\newline$ Khan Academy $\newline$ Get Al Tutoring NEW $\newline$ Donate $5$ $\newline$ Olivert $2$ $\newline$ A store has a $40 \%$ off sale on headphones. With this discount, the price of one pair of headphones is $\$ 36$ . $\newline$ What is the original price of the pair of headphones? $\newline$ $\$$

Full solution

Q. How to Redee

\newline

david baszuck

\newline

IXL | Percer

\newline

* Discount, Ra

\newline

คก

57 \%

\newline

khanacademy.org

\newline

Khan Academy

\newline

Get Al Tutoring NEW

\newline

Donate

5

\newline

Olivert

2

\newline

A store has a

40 \%

off sale on headphones. With this discount, the price of one pair of headphones is

\$ 36

\newline

What is the original price of the pair of headphones?

\newline

\$

Given Information: We have: $\newline$ Sale price of headphones: $\$36$ $\newline$ Discount percentage: $40\%$ $\newline$ The original price can be found by dividing the sale price by the percentage that represents the final price after discount, which is $100\% - 40\%$ . $\newline$ Let's calculate the original price. $\newline$ Original Price = Sale Price / $1 - \text{Discount Percentage}$
Convert to Decimal: First, convert the discount percentage to a decimal to make the calculation easier. $\newline$ Discount Percentage as a decimal = $40\% / 100\% = 0.40$
Calculate Final Price Percentage: Now, subtract the discount percentage in decimal form from $1$ to find the final price percentage in decimal form. $\newline$ Final Price Percentage = $1 - 0.40 = 0.60$
Find Original Price: Next, divide the sale price by the final price percentage to find the original price. $\newline$ Original Price = $\$36 / 0.60$
Final Calculation: Perform the division to find the original price. $\newline$ Original Price = $\$60$