A store has a 40% off sale on headphones. With this discount, the price of one pair of headphones is $36. What is the original price of the pair of headphones? $ ◻

Identify Sale Price: We know the sale price of the headphones is $36 after a 40% discount. To find the original price, we need to determine what price would result in $36 after a 40% reduction.Denote Original Price: Let's denote the original price as P. A 40% discount means the customer pays 60% of the original price (100% - 40% = 60%). Therefore, 60% of P is equal to $36.Set Up Equation: We can set up the equation: 0.60 * P = $36. To find P, we divide both sides of the equation by 0.60.Solve for Original Price: P = $36 / 0.60 P = $60Final Result: The original price of the headphones was $60 before the 40% discount.

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A store has a 40% off sale on headphones. With this discount, the price of one pair of headphones is $36.
What is the original price of the pair of headphones?

$ ◻

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? $\newline$ $\$\square$

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Math Problems

Grade 7

Multi-step problems with percents

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Q. 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

\$\square

Identify Sale Price: We know the sale price of the headphones is $\$36$ after a $40\%$ discount. To find the original price, we need to determine what price would result in $\$36$ after a $40\%$ reduction.
Denote Original Price: Let's denote the original price as $P$ . A $40\%$ discount means the customer pays $60\%$ of the original price ( $100\% - 40\% = 60\%$ ). Therefore, $60\%$ of $P$ is equal to $\$36$ .
Set Up Equation: We can set up the equation: $0.60 \times P = \$(36)$ . To find $P$ , we divide both sides of the equation by $0.60$ .
Solve for Original Price: $P = \frac{\$(36)}{0.60}$ $P = \$(60)$
Final Result: The original price of the headphones was $\$60$ before the $40\%$ discount.