SOLUTION: A school copier can print 5 copies of a test per minute and 8 copies of a quiz per minute. If I make 167 copies in 25 minutes, how many of each did I copy?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A school copier can print 5 copies of a test per minute and 8 copies of a quiz per minute. If I make 167 copies in 25 minutes, how many of each did I copy?       Log On


   

Question 851773: A school copier can print 5 copies of a test per minute and 8 copies of a quiz per minute. If I make 167 copies in 25 minutes, how many of each did I copy?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = the number of minutes that tests were copied
Let +q+ = the number of minutes that quizzes were copied
-------------------
(1) +5t+%2B+8q+=+167+
(2) +t+%2B+q+=+25+
---------------------
Multiply both sides of (2) by +5+
and subtract (2) from (1)
(1) +5t+%2B+8q+=+167+
(2) +-5t+-+5q+=+-125+
+3q+=+42+
+q+=+14+
and, since
(2) +t+%2B+q+=+25+
(2) +t+%2B+14+=+25+
(2) +t+=+11+
You copied 11 tests and 14 quizzes
check:
(1) +5%2A11+%2B+8%2A14+=+167+
(1) +55+%2B+112+=+167+
(1) +167+=+167+
OK