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
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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) (Show Source): You can put this solution on YOUR website!
| day | # of books |
| 1 | 1000 |
| 2 | 499.5 |
| 3 | 249.25 |
| 4 | 124.125 |
| 5 | 61.5625 |
| 6 | 30.28125 |
| 7 | 14.640625 |
| Total | 1979.359375 |
Note: The recursive formula is which can be rewritten as
Answer: 1979 books
Answer by ikleyn(52803) (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 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.
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