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

• When the company spends 2 hours to clean floors and 3 hours to clean the rest of a house, the total charge is $80.

• When the company spends 1 hour to clean floors and 4 hours to clean the rest of a house, the total charge is $100.

Which ordered pair represents the hourly charges to clean floors and to clean the rest of the house?
A) (2, 12)
B) (4, 24)
C) (12, 2)
D) (24, 4)

Respuesta :

remotecontrolbrain

Set up the equations:

2x+3y=80

1x + 4y = 100

solve for x and y:

1x + 4y = 100

x = 100-4y

plug into first equation

2(100-4y)+3y=80

200-8y+3y=80

y=120/5=24

x = 100-4y=100-96=4

So the charges are (x,y)=(4,24)

So the correct answer (B)

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