Question

Two stores sell the same television for the same original price. Store A

advertises that the television is on sale for 30% off the original
price. Store B advertises that it is reducing the televisions price by
$250. When Allison compares the sale prices of the television in both
stores, she concludes that the sale prices are equal. WHICH EQUATION
MODELS THIS SITUATION? Let p represent the televisions original price.

Answer 1

(0.7p)=p-250
30% off of p must be equal to 250 less than p. As a result you can say that 0.7p (0.7Xp), which is 70% of p (100%-30%=70%) is equal to p-250, so 0.7p=p-250.

Answer 2

0.7p = (p - 250)

Explanation:

Let the original price of the television is $p.

Store advertises that the television was on sale with 30% off the original price p.

So the price of television after 30% discount = p - 30% of the original price

= p -
`(30p)/(100)`

= p - 0.30p

= 0.70p

Other store B reduced the price of television by $250

So the cost of television after discount = p - 250

When Allison compared the prices in both the stores, prices of the television were equal.

Equation that models the situation will be

0.70p = (p - 250)