Problema Solution

Maria is comparing the prices of two window cleaning companies. Company A charges $6 per window and an additional $12 as service charges. Company B charges $5 per window and an additional $15 as service charges.

Part A: Write equations to represent Company A's and Company B's total charges for cleaning a certain number of windows. Define the variable used in the equations. (4 points)

Part B: Which company would charge less for cleaning 8 windows? Justify your answer. (3 points)

Part C: How much money is saved by using the services of Company B instead of Company A to clean 6 windows? (3 points

Answer provided by our tutors

let 'w' represent the number of windows, let 'A' represent Company A and let 'B' represent Company B


the equations for these companies can be expressed as following:

A = 6w + 12

B = 5w + 15


for these two companies to charge the same for windows, set their equations equal and solve for 'w':

6w+12=5w+15

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solve for 'w'

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w=3


So once Company A washes more than 3 windows it will cost more than it would for Company B.