A furniture shop refinishes chairs. Employees use two methods to refinish chairs. Method I takes 1.5 hours and the material costs $9. Method II takes 2.5 hours, and the material costs $6. Next week, they plan to spend 198 hours in labor and $918 in material for refinishing chairs. How many chairs should they plan to refinish with each method?

They plan to refinish 82 chairs by method I and 30 chairs by method II.

Step-by-step explanation:

Let x= Number of chairs refinished by method I.

y= Number of chairs refinished by method II.

As per given,

Multiply 6 on both sides of equation (i) , we get

Subtract (ii) from (iii), we get

Put this in (ii),

Hence, they plan to refinish 82 chairs by method I and 30 chairs by method II.