A store has a 25% off sale on coats. With this discount, the price of one coat is $34.50. What is the original price of the coat? $

Calculate Discounted Price: To find the original price of the coat, we need to determine what $34.50 represents after a 25% discount. Since the discount is 25%, the $34.50 is actually 75% of the original price, because 100% - 25% = 75%. We can set up the equation where 75% of the original price (OP) equals $34.50. Mathematically, this is represented as 0.75 * OP = $34.50.Find Original Price: To find the original price (OP), we need to divide the discounted price by 0.75. So, OP = $34.50 / 0.75.Perform Division: Now we perform the division to find the original price. OP = $34.50 / 0.75 = $46.00.

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A store has a
25% off sale on coats. With this discount, the price of one coat is
$34.50.
What is the original price of the coat?

$

A store has a $25 \%$ off sale on coats. With this discount, the price of one coat is $\$ 34.50$ . $\newline$ What is the original price of the coat? $\newline$ $\$$

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Math Problems

Grade 8

Percent of a number: tax, discount, and more

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Q. A store has a

25 \%

off sale on coats. With this discount, the price of one coat is

\$ 34.50

\newline

What is the original price of the coat?

\newline

\$

Calculate Discounted Price: To find the original price of the coat, we need to determine what $\$34.50$ represents after a $25$ % discount. Since the discount is $25$ %, the $\$34.50$ is actually $75$ % of the original price, because $100\% - 25\% = 75\%$ . We can set up the equation where $75$ % of the original price (OP) equals $\$34.50$ . Mathematically, this is represented as $0.75 \times OP = \$34.50$ .
Find Original Price: To find the original price (OP), we need to divide the discounted price by $0.75$ . So, $\text{OP} = \frac{\$34.50}{0.75}$ .
Perform Division: Now we perform the division to find the original price. $OP = \$34.50 / 0.75 = \$46.00$ .