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Mathematics 17 Online
OpenStudy (bossimbacon):

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 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. Which equation models this situation? Let p represent the television's original price. A. 0.3p = p - 250 B. 0.7p = p - 250 C. 0.3p = p + 250 D. 0.7(p - 250) = p

OpenStudy (mathstudent55):

At 30% off, how much is the discount? It is 30% of the original price. The original price is p. What is 30% of p?

OpenStudy (bossimbacon):

umm.... b?

OpenStudy (mathstudent55):

Forget the answers for now. How would you write in math 30% of p?

OpenStudy (mathstudent55):

What is 30% as a decimal number?

OpenStudy (bossimbacon):

.3

OpenStudy (bossimbacon):

OHHH

OpenStudy (bossimbacon):

ITS A

OpenStudy (imstuck):

yes

OpenStudy (bossimbacon):

zank you everyone

OpenStudy (mathstudent55):

Great. 30% is 0.3 30% of p is 30% times p, so it is 0.3p

OpenStudy (mathstudent55):

The discount is 0.3p If the entire cost is p, and you take off 0.3p, you are left with 0.7p. The price actually paid is 0.7p

OpenStudy (mathstudent55):

We are told the discount is $250. That means the actual price paid is p - 250

OpenStudy (mathstudent55):

Now we equate these two things to get the correct equation: 0.7p = p - 250

OpenStudy (mathstudent55):

The answer is B, not A.

OpenStudy (mathstudent55):

@Bossimbacon @IMStuck Read above.

OpenStudy (bossimbacon):

@mathstudent55 thanks a ton

OpenStudy (mathstudent55):

You're welcome.

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