SOLUTION: A printer charged 10 pesos for printing the first hundred programs for a school convocation, and 6.60 pesos a hundred for each additional hundred. If the bill amounted 36.40 pesos,

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A printer charged 10 pesos for printing the first hundred programs for a school convocation, and 6.60 pesos a hundred for each additional hundred. If the bill amounted 36.40 pesos,      Log On


   



Question 888142: A printer charged 10 pesos for printing the first hundred programs for a school convocation, and 6.60 pesos a hundred for each additional hundred. If the bill amounted 36.40 pesos, how many programs were printed?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +C+ = Cost total number of programs printed
Let +n+ = number of programs printed after the
first +100+
-----------------
The equation is:
+C+=+10+%2B+%28+6.6%2An+%29+%2F+100+
You are given:
+C+=+36.4+
+36.4+=+10+%2B+%28+6.6%2An+%29+%2F+100+
+35.4+=+%28+6.6%2An+%29+%2F+100+
+3540+=+6.6n+
+n+=+3540+%2F+6.6+
+n+=+536.36+
-------------------
To this, you have to add the first +100+ programs
that cost +10+ pesos
+n+%2B+100+=+636.36+
Rounding this off, 636 programs were printed
( You don't print part of a program )
---------------------
Check answer:
+C+=+10+%2B+%28+6.6%2An+%29+%2F+100+
+C+=+10+%2B+%28+6.6%2A536.36+%29+%2F+100+
+C+=+10+%2B+3539.976+%2F+100+
+C+=+10+%2B+35.399+
+C+=+36.4+
OK