Question 370491
A woodworking shop makes tables and chairs.
 To make a chair, 8 min is needed on the lathe and 8 min is needed on the sander.
 To make a table, 8 min is needed on the lathe and 20 min is needed on the sander. 
The lather operator works 6h/day and the sander operator works 7h/day.
 How many chairs and tables can they make in one day working at this capacity?
:
Let c = no. of chairs
Let t = no. of tables
:
Change the hrs to minutes, 6 hr = 360 min; 7 hrs = 420 min
:
The lathe equation
8c + 8t = 360
the sander equation
8c + 20t = 420
:
You can use elimination
8c + 20t = 420
8c + 8t = 360
----------------subtraction eliminates c find t