4. Mary Tuttle owns a carpet-cleaning business. She charges $67.95 for atwo-bedroom house and $82.25 for a three-bedroom house. Lastmonth the company had gross receipts of $4,413.00 for cleaningcarpet in 8 more three-bedroom houses than two-bedroom houses.How many of each type did the company clean?​

Answer:The Answer is: 25 two bedroom homes and 33 three bedroom homes.Step-by-step explanation:Let t = two bedroom homes and th = three bedroom homes.The number of each time by the charges is equal to the total gross recepts:67.95t + 82.25th = 4413.00There were 8 more three bedroom than two bedroom:th = t + 8By substitution:67.95t + 82.25(t + 8)  = 441367.95t + 82.25t + 658 = 4413150.20t = 4413 - 658150.20t = 3755t = 3755 / 150.20 = 25 two bedroom homes.th = t + 8 = 25 + 8 = 33 three bedroom homesProof:67.95(25) + 82.25(33) = 44131698.75 + 2714.25 = 44134413 = 4413