Question 6293
You can let L = # of pages of large type and S = # of pages of small type.

The total number of pages is: L + S = 21  Rewrite as:  L = 21 - S
The total number of words is: L(1,800) + S(2,400) = 48,000

Substitute the L = 21 - S into the second equation and solve for S.

(21 - S)(1,800) + S(2,400) = 48,000  Simplify and solve for S.
37,800 - 1,800S + 2,400S = 48,000
37,800 + 600S = 48,000  Subtract 37,800 from both sides.
600S = 10,200  Divide both sides by 600.
S = 17  The number of pages of small type.
L = 21-S
L = 21-17
L = 4 The number of pages of large type.

You can check this solution by verifying the following:

4 pages (1,800 words/page) + 17 pages(2,400 words/page = 48,000 words