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31 March, 14:28

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

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  1. 31 March, 18:12
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    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.
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