A cleaning company charges a fixed amount for a house call and a second amount for each room it cleans. The total cost to clean six rooms is $250 and the total cost to clean eight rooms is $320. How much would this company charge to clean two rooms?

Answer:$110Step-by-step explanation:Let the fixed amount charged be f and the amount charged to clean a room be r. To clean six rooms , the company would charge the following, the fixed amount for the call plus the amount charged per room multiplied by 6 which of course is 6r.Writing this in equation form, f + 6r = 250In likewise manner, same applies for 8 rooms.this gives f + 8r = 320We now have 2 equations that we will need to solve simultaneouslyf + 6r = 250........(i)f + 8r = 320........(ii)We subtract equation ii from I to yield 2r = 70, hence r = 70/2 = 35.We now substitute this in equation 1 f + 6(35) = 250f + 210 = 250f = 250 - 210 = 40Hence, we now know that the amount charged per call is $40 while the amount charged to clean a room is $35.We now calculate the amount charged by the company to clean 2 rooms.This is mathematically = f + 2r40 + 2(35) = $110.