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x = the number of pages of smaller type

The expression (21 - x) represents the number of larger type pages. There are 21 pages total and x of them are small, so 21 - x is the number of large pages. You multiply the number of small pages (x) by the number of words in the small type (2400) and you multiply the number of large pages (21 - x) by the number of words in the large type page (1800). The rest is arithmetic.

2,400x + 1,800(21 - x) = 48,000

2,400x + 37,800 - 1,800x = 48,000

600x = 10,200

x = 17

To check your answer: 17 pages of small type is 40800 words (17 × 2,400) and the remaining 4 pages of large type is 7,200 words (4 × 1,800). Add them together: 40,800 + 7,200 = 48,000

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Q: In an article of 48000 words and 21 pages there are two sizes of type. A larger type page contains 1800 words and a smaller type page contains 2400 words. How many pages are in the smaller type?
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