Last week a bookstore ordered a total of 92 books. The number of science fiction books, historical novels, and dictionaries ordered are shown in the pictograph above. How many books are needed to represent the number of biographies ordered?
Six books are needed to represent the number of biographies ordered.
The total number of books ordered was 92, and after accounting for the known quantities of science fiction books, historical novels, and dictionaries as represented in the pictograph, it is determined that 6 biographies were ordered to complete the total.
This choice correctly reflects the number of biographies ordered. Since the total number of books is 92 and the quantities of other categories have been summed, subtracting these from 92 yields 6, indicating that 6 biographies were ordered.
Choosing 7 implies that there were more biographies ordered than calculated. Given that the sum of the other categories already accounts for a specific number of books, selecting 7 would exceed the total of 92 when combined with the other categories.
This choice suggests an even higher number of biographies than 6 or 7. As previously stated, the calculations based on the pictograph clearly indicate that the total must remain at 92 when all categories are considered, making 17 an incorrect representation.
Selecting 23 would again lead to an inconsistency in the total calculation. The cumulative total of the other book categories already leaves insufficient room to accommodate 23 biographies without exceeding the overall order of 92 books.
This choice presents an unrealistically high number of biographies. Such a number would overshadow the combined total of other categories, invalidating the total order of 92 books and demonstrating a misunderstanding of the pictograph's data.
The correct number of biographies ordered is 6, derived from subtracting the known quantities of other book types from the total of 92. Each incorrect option either exceeds or misrepresents the total, highlighting the importance of accurate data interpretation in such problems.
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