Store A advertises that the television is on sale for 30% off the original price. Store B advertises that it is reducing the television’s price by $250. When Allison compares the sale prices of the television in both stores, she concludes that the sale prices are equal.

Whats the question?

0.70A = B-250

To determine if the sale prices of the television are indeed equal, we need to compare the discount offered by Store A and the price reduction offered by Store B.

Let's assume the original price of the television is X dollars.

Store A is offering a sale price that is 30% off the original price. This means Store A is selling the television for 70% of the original price, or 0.7X dollars.

Store B is reducing the price of the television by $250. So, the sale price at Store B would be X dollars minus $250, or (X - $250) dollars.

According to Allison's conclusion, both sale prices are equal. Therefore, we can write the following equation:

0.7X = X - $250

We can now solve this equation to find the value of X, which represents the original price of the television.

First, let's simplify the equation:

0.7X = X - $250

Multiply both sides of the equation by 100 to remove the decimals:

70X = 100X - 25,000

Subtract 100X from both sides:

70X - 100X = -25,000

Combine like terms:

-30X = -25,000

Finally, divide both sides of the equation by -30 to solve for X:

X = (-25,000) / (-30)

X = $833.33 (rounded to the nearest cent)

Therefore, the original price of the television is approximately $833.33.

To summarize, if both Store A and Store B are offering the same sale price, the original price of the television would be approximately $833.33.