Write a system of equations to model the situation?

Question

An external cleaning service is hired to come daily and perform the hotel's house cleaning duties. The current external cleaning service, Tidy Clean, provides its total monthly cost per employee based on the number of hours worked in a month. For each employee, Tidy Clean will charge $18.95 per hour worked plus a monthly bonus of $35.00. The new cleaning service being considered, LV Cleaning, will charge $19.35 per hour worked and does not have a monthly bonus.

Answer 1

Ct(H) = 18.95H + 35

Clv(H) = 19.35H

Costs are the same when 18.95H +35 = 19.35H

.4H = 35

H = 35/.4 = 350/4 = 87.5 hours

cost for Tidy is cheaper for more than 87.5 hours

for 87.5 hours both cost $1693.125

cost for LV Cleaning is cheaper for less than 87.5 hours