Quote:
Originally Posted by resohead
In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1800 words. Using smaller type, a page contains 2400 words. The article is allotted 21 full pages in a magazine. How many pages must be in smaller type?
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This is a simultaneous equation. If we call
x the number of pages in large type and
y the number of pages in small type, then
1800
x + 2400
y = 48 000 (1)
and
x +
y = 21 (2)
so then
1800
x + 1800
y = 37 800 (3)
if we then subtract 3 away from 1, we get
600
y = 10 200
y = 17
then substituting that value into (2),
x + 17 = 21
x = 21  17 = 4
Then in order to check you can use the 1st equation
1800 * 4 + 2400 * 17 = 48 000
Same result, so we know these are the correct values. So in other words you will have 4 pages of larger type and 17 pages of smaller type.