SOLUTION: How do I setup this problem? 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 smaller type, a

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Question 763268: How do I setup this problem? 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 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?
thank you
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Let L be the number of pages of large type and S the number of pages of small type.
The total number of pages is:
L+%2B+S+=+21 .....eq.1
Rewrite as: L+=+21+-+S
The total number of words is:
1800L+%2B+2400S+=+48000....eq.2
Substitute the L+=+21S into the second equation and solve for S.
1800%2821+S%29+%2B+2400S+=+48000
37800+-+1800S+%2B+2400S+=+48000
+600S+=+48000-37800
+600S+=+10200
+S+=+10200%2F600
+S+=+17...... The number of pages of small type.
L+=+21-S
L+=+21-17
L+=+4....... The number of pages of large type.