Question

The sales price of a car is $12,590, which is 20% off the original price. What is the original price? please explain it to me

Answer 1

Let the original price be denoted by x, then write down the function x ↦ $12590, that takes original prices and returns the sales price. Then you only need to invert it.

Answer 2

ok and how would i do that math is my weakest subject its like disease that i cnt fight

Answer 3

i didn't quite get the q so taking ur q as 12590 being the sale price with a 20% discount,

x-0.2x=0.8x=12590

x=12590/0.8=15737.5

Answer 4

ok, let me start from the beginning

Answer 5

sales price (100% minus the 20% sales = 80% of the original)= $12590
original price (100%) = \[sales price \div 80 * 100\]
= 12590/80*100
= 15737.50$

Answer 6

this works like this:
you know the price after a 20% off, which means the sales price you know is 80% of the original price.
So to find the original price, you have to divide the sales price by 80 (to find how much $ is for each %), and then multiply by 100 so you get the total 100% price

Answer 7

got it?

Answer 8

yea but quick question

Answer 9

12590 = original price - original price(%)

12590 = P - P(20%) change 20% to its decimal form (.20)

12590 = P(1 - .20)

P = 12590/(1-.20)

Answer 10

amistres64 how did you get one for this problem when you said (1-.20)

Answer 11

It is a technique used to "factor out" a variable.

Lets use P =10 and the % =3 as an easy example: just replace them with numbers:

10(1) - 10(3) we can easily find the value of this; 10 - 30 = -20 right?

We can also solve this by "factoring out" the thing they have in common and turning it into a multiplication problem like this:

10 (1-3) which is 10(-2) = -20, same answer.

Just remember that there is an "invisible" or "implied" (1) next to all variables and numbers; why? because anything times (1) equals itself.

Does this make sense?

Answer 12

In other words:

P(1) - P(.20) factors out to be:

P(1-.20)

Answer 13

yes thank you ... you helped a lot

Answer 14

so when you say 12590/(1-.20) are you telling me to divide or multiply before i subtract

Answer 15

12590 divided by (1-.20)

Answer 16

ok thank you so so so so much your a lifesaver