SOLUTION: A printing press can produce 1,000 books per day. Each day, the number of books produced decreases by half of the previous day's production, minus half a book. At the end of 1 week

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A printing press can produce 1,000 books per day. Each day, the number of books produced decreases by half of the previous day's production, minus half a book. At the end of 1 week      Log On


   



Question 1204137: A printing press can produce 1,000 books per day. Each day, the number of books produced decreases by half of the previous day's production, minus half a book. At the end of 1 week (7 days), how many books will the printing press have produced?
Found 2 solutions by math_tutor2020, ikleyn:
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

day# of books
11000
2499.5
3249.25
4124.125
561.5625
630.28125
714.640625
Total1979.359375

Note: The recursive formula is next+=+previous%2F2+-+1%2F2 which can be rewritten as next+=+%28previous-1%29%2F2

Answer: 1979 books


Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

Notice that the problem does not say that the press produced 1000 books in the first day.

Instead,  it says that the press  highlight%28highlight%28can%29%29  produce  1000  books per day,
which is,  obviously,  DIFFERENT statement.

So,  we really do not have the necessary information and a base to start and to make even first step.


Professional  Math writers  NEVER  generate their problems in such an ambiguous way.

They always distinct the intentions from what is/was really done.