In a printing an article of 21,000 words a printer decides to use two sizes of type using a larger type a printed page contains 1,200 word using the smaller type the page contains 1500 words the article is allotted 16 full pages in a magazine how many pages must be the larger type
Let x be the number of pages printed with the larger type.
Then the number of pages printed with the smaller type is 16 - x.
The total number of words printed with the larger type is 1200x.
The total number of words printed with the smaller type is 1500(16 - x).
The total number of words in the article is 21000.
So, 1200x + 1500(16 - x) = 21000.
1200x + 24000 - 1500x = 21000.
300x = 3000.
x = 10.
Therefore, 10 pages must be printed with the larger type. Answer: \boxed{10}.
To find the number of pages that must be printed using the larger type, we'll first calculate the number of words per page for each type, and then determine the number of pages using the larger type.
Let's start by calculating the words per page for each type:
- The larger type contains 1,200 words per page.
- The smaller type contains 1,500 words per page.
Next, we'll determine the total number of words in the article:
- The article has 21,000 words.
To find the number of pages that must use the larger type, we'll divide the total number of words in the article by the number of words per page for the larger type:
Pages with larger type = Total words / Words per page (larger type)
= 21,000 words / 1,200 words per page (larger type)
= 17.5 pages (approx.)
Since the article is allotted 16 full pages in the magazine, we cannot have a fraction of a page. Therefore, we need to round down the number of pages with the larger type to the nearest whole number.
Hence, the number of pages that must use the larger type is 17 pages.