Final answer:
To find the number of history books Ron bought, we can set up a proportion using the given ratio and the total number of books he bought. Solving for x, we find that Ron bought 57 history books and 24 literature books.
Step-by-step explanation:
To find the number of history books Ron bought, we need to use the given ratio and the total number of books he bought. The ratio of history books to literature books is 7:4, which means for every 7 history books, Ron bought 4 literature books. We can set up a proportion to solve for the number of history books:
7 history books / 4 literature books = x history books / 33 total books
Cross-multiply and solve for x:
7 * 33 = 4x
x = (7 * 33) / 4 = 57.75
Since we can't have a fraction of a book, we round down to the nearest whole number. Therefore, Ron bought 57 history books and 33 - 57 = 24 literature books.