SOLUTION: Hi This is exactly as it appears in the textbook. Josie needs a new computer and has saved $1500.00. She decided to wait for the end of year sale where she was promised a 15 perc

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Question 1153552: Hi
This is exactly as it appears in the textbook. Josie needs a new computer and has saved $1500.00. She decided to wait for the end of year sale where she was promised a 15 percent discount and a further 3 percent off if she paid cash.
What is the maximum value to the dollar of a full priced computer she can afford if she pays cash.
What is the difference between the full price computer she can afford with cash and of a computer she paid by card.
Thanks

Found 3 solutions by josgarithmetic, ikleyn, greenestamps:
Answer by josgarithmetic(39620) About Me  (Show Source):
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the maximum value of the full priced computer she can afford if she pays cash

          (i.e. exactly the unknown value under the question).


Then the equation for x, from the given condition, is


    0.97*(0.85x) = 1500  dollars,     (1)


where 0.85 = 1-0.15  and  0.97 = 1-0.03.


From equation (1)


    x = 1500%2F%280.85%2A0.97%29 = 1819.28 dollars.   ANSWER to Q1



The answer to the second question is


     difference = 1819.28 - 1500%2F0.85 = 1819.28 - 1764.71 = 54.57  dollars.     ANSWER to Q2

--------------

The  "after-solution"  notice.

The problem's formulation in  THIS  post  ( "exactly as in the textbook" )  is correct and meaningful.

The problem's formulation in your previous post was nonsensical.


The conclusion,  the diagnosis and the advise for the future :

    if you do not understand the subject,

    do not make your arbitrary changes in the original formulations.

    Post them "word-in-word", as is.


/\/\/\/\/\/\/\/

In one of my previous posts,  I wrote once that,  according to my feeling,
there is a  "visitor"  in this forum at the opposite end of the Internet,
who permanently and intently corrupts every post he submits.

It looks like that  my suggestion was correct,  and  now I detected and discovered this visitor.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The problem asks what the maximum list price of the computer can be if it costs $1500 after a discount of 18%.

x+-+0.18x+%3C=+1500
0.82x+%3C=+1500
x+%3C=+1500%2F0.82 = $1829 to the nearest dollar

If she pays with a card so that the discount is only 15%, then....

0.85x+%3C=+1500
x+%3C=+1500%2F0.85 = $1765 to the nearest dollar

The difference between those two is $64.

-----------------------------------------------------

NOTE: I interpret "a further 3 percent discount if she pays cash" to mean that the total discount is 15%+3% = 18%.

A different possible interpretation is that the 3% discount is on the price that has already been discounted by 15%.

With that interpretation, the total discount is 17.55% instead of 18% -- leading of course to slightly different answers to both questions.