Two stores sell the samo television for the same original price. Store A advertises that the television is on sale for off the original
price. Store B advertises that it is reducing the television’s price by . When Allison compares the sale pricos of the television in
both stores, she concludes that the sale prices are equal.
Let p represent the telovision’s original price.
Which equation models this situation?

Question

Two stores sell the samo television for the same original price. Store A advertises that the television is on sale for

off the original
price. Store B advertises that it is reducing the television’s price by

. When Allison compares the sale pricos of the television in
both stores, she concludes that the sale prices are equal.
Let p represent the telovision’s original price.
Which equation models this situation?

UpStudy AI · Accepted Answer

To model the situation where both stores offer the television at the same sale price, let's break down the discounts provided by each store:

1. **Store A:**
   - **Original Price:** $$ p $$
   - **Discount:** $$ 30\% $$ off
   - **Sale Price:** $$ p - 0.3p = 0.7p $$

2. **Store B:**
   - **Original Price:** $$ p $$
   - **Discount:** \$250 off
   - **Sale Price:** $$ p - 250 $$

Allison concludes that the sale prices from both stores are equal. Therefore, you can set the two sale prices equal to each other:

$$
0.7p = p - 250
$$

This equation accurately represents the situation described.

**Final Equation:**
$$
0.7p = p - 250
$$

Answer: $$ 0.7\,p \;\; = \;\; p\; -\;250 $$
The equation that models the situation is $$ 0.7p = p - 250 $$.

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