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In printing an article of 21,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,200 words. Using the smaller type, a page contains 1,500 words. The article is allotted 16 full pages in the magazine. How many pages must be in the larger type?

The article is allotted 16 full pages in the magazine, so the total number of words that can fit on the 16 pages is 16 x 1,500 = 24,000 words. Since the article is 21,000 words, the remaining 3,000 words must fit on the remaining 3 pages. Since the larger type contains 1,200 words per page, 3 pages in the larger type will fit 3 x 1,200 = 3,600 words. Therefore, 3 pages must be in the larger type.

Did you know?

Did you know that in printing an article of 21,000 words, the number of pages needed can vary depending on the size of the type used? In this case, a printer decided to use two different sizes of type: a larger type that fits 1,200 words per page and a smaller type that fits 1,500 words per page. Since the article is allotted 16 full pages in the magazine, we can calculate how many pages must be in the larger type. By comparing the word capacity of the larger and smaller type, we can determine that for every one smaller-type page, we save 300 words (1,500 words - 1,200 words). Therefore, for 16 full pages, using the larger type, there would be a saving of 4,800 words (16 pages x 300 words). Dividing the remaining word count (21,000 words - 4,800 words) by the word capacity of the larger type (1,200 words) tells us that we will need an additional 12 pages in the larger type (16,200 words ÷ 1,200 words). So, to fit the article within the allotted 16 pages, we would require 4 pages in the larger type and 12 pages in the smaller type.