O = Original
O(1 - .72) = 268.80
O(.28) = 268.80
O = 268.80/.28 = $960
Melissa D.
asked 05/26/23What was the original price of the table
Table was on sale for 268.80 the price is 72% less than original price
O = Original
O(1 - .72) = 268.80
O(.28) = 268.80
O = 268.80/.28 = $960
Matias T. answered 06/20/23
Mechanical Engineering tutor specialized in math and phyisics
Lets call the unknown original price P
We know that $268.8 is 28% of the original price, since a 72% discount was applied (100%-72%=28%)
Therefore, we can write: P * 0.28 = $268.8, since the price paid is 28% of the original price
By rewritting the equation, we get: P = $268.8 / 0.28
Solving $268.8/0.28 gives $960, which is the answer
Let's set the original price of the table (which we're solving for) as the variable x.
We know that the price of the table after taking away 72% of the original price is $268.80, which allows us to write out an important equation:
$268.80 = x * (100% - 72%)
$268.80 = x * (1 - 0.72)
$268.80 = x * 0.28
This equation is taking x and multiplying it by (100% - 72%), which written in decimal form is (1 - 0.72). That value can be written as either 28% or 0.28, and what it means is that after removing 72% of the original price, only 28% of the original price is left, which the question has told us is worth $268.80. Note that we'll be using 0.28 instead of 28% since we can only use decimals to multiply into money values. Continuing from our equation above:
$268.80 = x * 0.28
$268.80 / 0.28 = x
x = $960
By dividing on both sides by 0.28, we can get x by itself on one side to be able to solve for it.
Answer: $960
Amy N. answered 05/28/23
Medical Student for AP, STEM Tutoring, and Admissions Assistance
Since you know that the original price was 72% more, you can assume that the price you have right now is 28% of the original price because 100-72 = 28.
Then, you can set up a cross multiplication problem:
268.80 28
--------- = -------
x 100
For you can assume that what you have is 28% of the original price so you want to find the original full price which would be 100% of the price.
Cross multiply
268.80 = (.28)x
Then divide to find X (full price)
X = 960
Daniel P. answered 05/28/23
Experienced Tutor Specializing in SAT Math and Algebra
To determine the original price of the table, we need to calculate the price before the 72% discount was applied.
Let's assume the original price of the table is "x".
According to the information provided, the table was on sale for 72% less than the original price. This means the sale price is equal to 100% - 72% = 28% of the original price.
We can set up the following equation to represent this relationship:
0.28x = 268.80
To solve for "x," we divide both sides of the equation by 0.28:
x = 268.80 / 0.28
Calculating this, we find:
x ≈ 960
Therefore, the original price of the table was approximately $960.
Get a free answer to a quick problem.
Most questions answered within 4 hours.
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.