the price of a dress is reduced by 40%, when the dress still does not sell, it is reduced by .40 of the reduced price, if the price of the dress after both reductions is $72, what was the original price?
how would i create an equation for this?
Let x = the second price of the dress.
0.6x = 72
x = 120
Let y = the original price.
0.6y = 120
y = ?
45
To create an equation for this problem, we can break it down into steps:
Step 1: Calculate the first reduction:
Since the price is reduced by 40%, we can express this as multiplying the original price by (100% - 40% = 60% = 0.6).
Let's denote the original price as "P". Therefore, the first reduced price is 0.6P.
Step 2: Calculate the second reduction:
The dress is reduced by 0.40 of the reduced price, which is 0.40 * 0.6P = 0.24P.
So, the final price after both reductions is 0.6P - 0.24P = 0.36P.
Step 3: Set up the equation:
We are given that the price after both reductions is $72, so we can write the equation as:
0.36P = $72.
Now, to find the original price, we can solve this equation.
72={.60)(.60)originalprice
72=.36*originalprice