How do I set up this equation? Set up a variable and write the equation?

Question

After a 25% reduction, a vacation is on sale for $525. What is the original price of the vacation?

How would I create an equation to solve this problem?

Answer 1

Discount = original price * percent off

Total price = original - discount

Put those together and you get:

Total price = original - (original * percent)

525 = x - x*0.25
525 = 0.75 x
700 = x

Answer 2

Let X be the original price of the vacation. After a 25% reduction, a vacation is on sale for $525.

X - .25X = 525

The original price minus 25% of the original price equals $525.

Answer 3

Define a variable, X, as the original price of the vacation. This is what you are solving for.

X * (100%-25%) = $525, discounting subtracts 25% of the price from the original price.

=> X * 75% = $525, reducing the parenthetical

=> X = $525 / 75%, solving for X by dividing by 75% on both sides

=> X = ???, I think you can do this part :)

Answer 4

525/3=x
x*4=original price

if you are reducing a price by 25%, or 1/4, the reduced price is 3/4 of the original price. dividing the reduced price gives you 1/4 of the original price, which you can then multiply by 4 in order to get the full orignal price.

Answer 5

After the reduction, the price was 75% of the original value.
Start * 75/100 = finish -OR- Y = 0.75X
525 = 0.75X
525/0.75 = X

X = $700

Answer 6

I guess just use a simple equation to solve it.

525 525
x0.25 +131.25
_____ THEN _______ 626.25 is the answer

131.25 626.25

Answer 7

a=original price
1a - .25a = 525
.75a = 525
.75a/.75 = 525/.75

a = $700