To estimate the total number of notebooks, we can round the numbers of notebooks in each type of box to simplify the calculation.
- For the big boxes: 189 can be rounded to 200.
- For the small boxes: 79 can be rounded to 80.
The total approximate number of notebooks can be estimated with the following equation:
\[ (15 \times 200) + (12 \times 80) \]
However, this specific option is not listed among the choices.
Let's evaluate the options provided to find the closest estimation:
-
(15 x 200) + (10 x 80) = This uses 10 small boxes instead of 12, which is not correct because it alters the original count of small boxes.
-
(15 x 10) + (190 x 80) = This clearly doesn't make sense, as it is not estimating the number of notebooks correctly.
-
(15 x 10) + (200 x 80) = Again, this doesn’t seem appropriate since it has misrepresented the big box count.
-
(20 x 12) + (200 x 100) = This option seems to misestimate as well, both in terms of the factors used for the boxes.
None of the provided options are perfectly estimating the total number of notebooks, but the first option (15 x 200) + (10 x 80) is the only one that attempts to get close to the estimation, even though it inaccurately counts small boxes.
If we had to choose the best estimation equation from the provided list, it would be: (15 x 200) + (10 x 80) (despite the incorrect number of small boxes).
For clarity: The calculations ideally should use all 12 small boxes and the full respective notebook counts rounded to the nearest hundred for proper estimates.