Question 1207381
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<pre>

Let x be the original price before the discount.


Then the governing equation to find x from the problem is

    (1-0.15)x = 8000,


or, which is the same

    0.85x = 8000.


It gives  x = {{{8000/0.15}}} = 9411.764706.


Rounded to the closest dollar, it is x = $9,412.


Buying a discounted car, a buyer saves  $9,412 - $8000  = $1,412.
</pre>

Solved.



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<U>Comment from student</U> : You provided two equations in your reply. I have two questions about the first equation. 
You said: (1-0.15)x = 8000 Questions: 1. What information in the word problem indicates to subtract 15% from 1? 
2. Does the number 1 inside the parentheses represent 100%? If so, you did 100% - 15% = 85% = 0.15. Yes?



<U>My response</U>:  &nbsp;&nbsp;Your suggestions/(guesses) &nbsp;are correct.


I am very glad that by straining your mind, &nbsp;you were able to figure this out on your own.
It is my major goal at this forum - to awaken the brain of visitors.


Also, &nbsp;I thought that it is clear and obvious to &nbsp;{{{highlight(highlight(everyone))}}} &nbsp;as a sunny day - it is why I didn't go into further explanations.