SOLUTION: A chemistery lab can be used by 38 students at one time. The lab has 16 work-stations, some set up for 2 students each and the others set up for 3 students each. How many work-stat

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A chemistery lab can be used by 38 students at one time. The lab has 16 work-stations, some set up for 2 students each and the others set up for 3 students each. How many work-stat      Log On


   

Question 26194: A chemistery lab can be used by 38 students at one time. The lab has 16 work-stations, some set up for 2 students each and the others set up for 3 students each. How many work-stations accommodate 2 students?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let number of 2-person stations be "x".
Then number of 3-person stations is "16-x"
Persons accommodated at the 2-person stations is 2x.
Persons accommodated at the 3-person stations is 3(16-x)=48-3x
EQUATION:
#of persons at 2-person + #of persons at 3-persons = 38
2x + 48-3x=38
-x=-10
x=10 (# of 2-person work stations)
Cheers,
Stan H.