math homework question?

Question

ok this is a story problem. i'm really good at math, but this one stumped me. it says this lady bought a dress for $85 that was 10% off of the original price. wut was the list price? if u figure it out please tell me how you did it. and how you checked it.

$85 is NOT the original price. it is the sale price & i am looking for the original price!!!!

Answer 1

if the dress is now $85 that represents 90% of the cost, so divide $85 by 90 and multiply by 100 to find the original cost.

Answer 2

When you do a word problem (or story problem) over half of it is just setting up the equation. This is very important because in real life 90% of the math problems you have to solve are word problems.

First you need to list what is known.
The price of the dress was $85 and it was on sale.

Second you need to find out what you are trying to find.
In this case you need to find the original price of the dress or its list price.
X = the original price of the dress.

Third you find the relationship between the know and the unknown
You were told that the dress was sold at 10% off the original price

Fourth you need to set up the equation.
X = the price that the dress was sold at plus the 10% discount, but you are given the price of the dress AFTER it was discounted, so you know that it costs more than $85, how much more = 10% more. Remember that Z% = Z/100.

X = 85 + X10%
X = 85 + X(0.1)

Fifth, and usually the easiest step you solve the equation.
X = 85 + X(0.1)
X - X0.1 = 85
X 0.9 = 85
X 9/10 = 85
X = 85 (10/9) = 850/9 = 94.44
Therefore the original price of the dress was $99.44

To check the problem you use the same data and set up a new equation.
The dress was $94.44 and it was sold at 10% off, what was the sale price of the dress.
94.44 – 94.44(10%) = the sale price of the dress.
94.44 – 94.44(10/100) = 94.44 – 94.44 (1/10) = 94.44 – 9.44 = 85
The sale price of the dress is $85. If you check the data given in the word problem then you see that this is the correct value so your answer for X checks out.

Answer 3

$94.44 is the list price.

Let x = original price. The word problem tells you that:

x*(1-.10) = 85 (85 is 10% off the original price)

x = 85/.9

x = 94.444444444

Answer 4

The original price was $94.44
$94.44 less 10 % off = $85

$94.44 - $9.44 = $85

X - x/10 = $85 ; multiply each side by 10

10x - x = $850

9X = $850

x = $850/9 = $94.44

Answer 5

let the list price be x
working goes like this:
x * 90% = $85
so x = 85 / 90%
x = 85 * 100/90
x = 94.44

Answer 6

Ok so you are tying to find what the price was with the 10% discount.
*First, find 10%(how much off) of 85(original price)
10% of 85=8.5
**Then, take this number and subtract it from the original 85 price and get
85-8.5=76.5

Answer 7

Multiply 85 by 1.1

Answer 8

let the original price be x, x＊(1-10%)=85, x=94.4

Answer 9

85 = .9x
divide both sides by .9
x = $94.44

to check:
.9(94.44) = ? (should be 85)