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
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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
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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
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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.
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