SOLUTION: Company A charged a one-time setup fee of $40 and $1.25 per page to print a book. Company B charged a one-time setup fee of $25 and $1.30 per page to print a book. (a) Where would

Algebra ->  Proportions -> SOLUTION: Company A charged a one-time setup fee of $40 and $1.25 per page to print a book. Company B charged a one-time setup fee of $25 and $1.30 per page to print a book. (a) Where would      Log On


   



Question 1135654: Company A charged a one-time setup fee of $40 and $1.25 per page to print a book. Company B charged a one-time setup fee of $25 and $1.30 per page to print a book.
(a) Where would it have been cheaper to print a book that has 160 pages?
(b) How many pages should a book have for both companies to charge the same amount in printing cost?

Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, the number of pages

Company A, cost
1.25x%2B40

Company B, cost
1.3x%2B25


That should be enough for you to handle the two questions.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +C+ = cost of printing a book
Let +n+ = the number of pages
--------------------------------------------
Company A:
(1) +C+=+40+%2B+1.25n+
Company B:
(2) +C+=+25+%2B+1.3n+
------------------------------
(a)
+n+=+160+
(1) +C+=+40+%2B+1.25%2A160+
(1) +C+=+40+%2B+200+
(1) +C+=+240+
-----------------------
(2) +C+=+25+%2B+1.3%2A160+
(2) +C+=+25+%2B+208+
(2) +C+=+233+
Company B is cheaper
------------------------------
(b)
Set both costs equal
+40+%2B+1.25n+=+25+%2B+1.3n+
+.05n+=+15+
+n+=+300+
For 300 pages the costs are the same
--------------------------------------------
check:
(1) +C+=+40+%2B+1.25%2A300+
(1) +C+=+40+%2B+375+
(1) +C+=+415+
and
(2) +C+=+25+%2B+1.3%2A300+
(2) +C+=+25+%2B+390+
(2) +C+=+415+
OK