A furniture shop refinishes tables. Employees use one of two methods to refinish each table. Method I takes 0.5 hours and the material costs $8. Method II takes 1.5 hours, and the material costs $5. Next week, they plan to spend 92 hours in labor and $484 in material for refinishing tables. How many tables should they plan to refinish with each method?
Let
a ------> number of tables refinished using method 1
b -----> number of tables refinished using method 2
we have that
0.5a +1.5b=92 -------> equation 1
8a+5b=484 ------> equation 2
Solve the system of equations by graphing
using a graphing tool
Remember that the solution of the system is the intersection point both lines
so
see the attached figure
(please wait a minute)
the solution is
a=28
b=52
therefore
They should refinish 28 tables using method 1
They should refinish 52 tables using method 2