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 a magazine. how many pages must be in the smaller type?

Let the number of smaller pages be x and that of larger pages be (16-x)

Total number of words in the smaller pages will be:

x*1200=1200x

Total number of words in the large pages will be:

1500 (16-x) = 24000-1500x

the total number of words will be:

24000-1500x+1200x=21000

-300x=-3000

x=-3000/-300

x=10

the number of small pages was 10 and the number of large pages was 16-10=6 pages.