contestada

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

Respuesta :

kevinbentch

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 = 4413.00

There were 8 more three bedroom than two bedroom:

th = t + 8

By substitution:

67.95t + 82.25(t + 8)  = 4413

67.95t + 82.25t + 658 = 4413

150.20t = 4413 - 658

150.20t = 3755

t = 3755 / 150.20 = 25 two bedroom homes.

th = t + 8 = 25 + 8 = 33 three bedroom homes

Proof:

67.95(25) + 82.25(33) = 4413

1698.75 + 2714.25 = 4413

4413 = 4413

Otras preguntas