SOLUTION: In printing an article of 27,000 words a printer decides to use two sizes of type. Using the larger type a printed page contains 1,200 words. Using smaller type, a page contains 1,

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In printing an article of 27,000 words a printer decides to use two sizes of type. Using the larger type a printed page contains 1,200 words. Using smaller type, a page contains 1,      Log On


   



Question 792069: In printing an article of 27,000 words a printer decides to use two sizes of type. Using the larger type a printed page contains 1,200 words. Using smaller type, a page contains 1,500 words. The article is allotted 21 full pages in a magazine. how many pages must be in the smaller type?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x= Number of small pages
y= Number of full pages

1 x + 1 y = 21 .............1
Total words
1200 x + 1500 y = 27000 .............2
Eliminate y
multiply (1)by -1500
Multiply (2) by 1
-1500 x -1500 y = -31500
1200 x + 1500 y = 27000
Add the two equations
-300 x = -4500
/ -300
x = 15
plug value of x in (1)
1 x + 1 y = 21
15 + y = 21
y = 21 -15
y = 6
y = 6
x= 15 Number of small pages
y= 6 Number of full pages
m.ananth@hotmail.ca