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.