Question

Carrie and dave each rent the aame size moving truck for one day they pay a fee x dollars for the truck and y dollars per mile they drive Carrie drives 150 miles and pays $215 Dave drives 120 miles and pays $176 what is tge amount of the fee and cost per mile

Answer 1

Answer:

The amount of the fee for the truck is $20 and cost per mile is $1.3.

Step-by-step explanation:

If they pay a fee x dollars for the truck and y dollars per mile they drive.

Carrie drives 150 miles and pays $215.

Her fee= $x for the truck + 150 X y =215

x+150y=215...(I)

Similarly, Dave drives 120 miles and pays $176

His fee =$x for the truck + 120 X y = 176

x+120y=176....(ii)

To determine the values of x and y, we solve Equations I and II simultaneously.

x+150y=215...(I)

x+120y=176....(ii)

Using elimination method (Subtracting equation II from I)

30y=39

y=1.3

Substitute y=1.3 into (I) to get x.

x+150y=215...(I)

x+(150X1.3)=215

x+195=215

x=215-195=20

Since x=20, y=1.3, The amount of the fee for the truck is $20 and cost per mile is $1.3.