A cleaning company charges x dollars per hour to clean floors and y dollars per hour to clean the rest of the house

-when the company spends 2 hours to clean floors and 3 hours to clean the rest of a house, the total is $84.

-when the company spends 1 hour to clean floors and 4 hours to clean the rest of a house, the total is $87

Which ordered pair represents the hourly charges to clean floor and to clean the rest of the house?

A. (12,20)

B. (15,18)

C. (20,12)

D. (18,15)

Question

Guest

Mathematics

22 February, 22:45

A cleaning company charges x dollars per hour to clean floors and y dollars per hour to clean the rest of the house

-when the company spends 2 hours to clean floors and 3 hours to clean the rest of a house, the total is $84.

-when the company spends 1 hour to clean floors and 4 hours to clean the rest of a house, the total is $87

Which ordered pair represents the hourly charges to clean floor and to clean the rest of the house?

A. (12,20)

B. (15,18)

C. (20,12)

D. (18,15)

+2

Answers (1)

Know the Answer?

Stephany Steele · Answer 1

(15,18)

Step-by-step explanation:

write two equations with the information provided.

2x + 3y = 84

x + 4y = 87

use the property of substitution to answer.

x + 4y = 87, x = 87 - 4y

2 (87 - 4y) + 3y = 84

174 - 8y + 3y = 84

174 - 84 = 8y - 3y

90 = 5y

90/5 = y

y = 18

Add the value of Y to an original equation. Solve for X

2x + 3 (18) = 84

2x + 54 = 84

2x = 84 - 54

2x = 30

x = 30/2

x = 15