SOLUTION: Screen-printing a batch of shirts requires 4/3 of a minute per shirt in addition to 16 initial minutes set-up time. How long does it take to screen-print a batch of 12 shirts?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Screen-printing a batch of shirts requires 4/3 of a minute per shirt in addition to 16 initial minutes set-up time. How long does it take to screen-print a batch of 12 shirts?      Log On


   

Question 1135250: Screen-printing a batch of shirts requires 4/3
of a minute per shirt in addition to 16 initial minutes set-up time. How long does it take to screen-print a batch of 12 shirts?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = the time in minutes
to screen-print 1 shirt
Let +n+ = number of shirts screen-printed
in +t+ minutes
-------------------------------
In terms of units:
[ total minutes ] / [ minutes / shirt ] = [ number of shirts ]
+n+=+%28+t-16+%29%2F%284%2F3%29++
+n+=+%28+3%2F4+%29%2A%28+t+-+16+%29+
+n+=+%283%2F4%29%2At+-+12+
----------------------------
+n+=+12+
+12+=+%283%2F4%29%2At+-+12+
+%28+3%2F4+%29%2At+=+24+
+3t+=+96+
+t+=+32+
It takes 32 min
---------------------
check:
+32+-+16+=+16+ total min printing
[ min/shirt ] x [ number of shirts ] = [ total min ]
+%28+4%2F3%29%2A12+=+16+
OK