In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,800 words. Using a smaller type, a page contains

2,400 words. The article is allotted 21 full pages in a magazine. How many pages must be in smaller type

17 pages

To find the number of pages that must be in smaller type, we first need to determine the total number of words in the article.

We know that the larger type size can fit 1,800 words on a page, so each page using the larger type contains 1,800 words.

To find the total number of words in the article, we multiply the word count per page (1,800 words) by the total number of pages (21 pages):

Total number of words in the article = 1,800 words/page * 21 pages
Total number of words in the article = 37,800 words

Now we can calculate the number of pages that must be in the smaller type.

We know that the smaller type size can fit 2,400 words on a page.

To calculate how many pages should be in the smaller type, we divide the total number of words in the article (37,800 words) by the number of words per page using the smaller type (2,400 words):

Number of pages in smaller type = Total number of words / Words per page in smaller type
Number of pages in smaller type = 37,800 words / 2,400 words/page
Number of pages in smaller type ≈ 15.75 pages

Since we cannot have a fraction of a page, we round up to the nearest whole number. Therefore, there must be 16 pages in the smaller type.