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Problema Solution

Dave and Carrie each rent the same size moving truck for one day. They pay a fee of x dollars for the truck y dollars per mile they drive. Carrie drives 150 miles and pays $215. Dave drives 120 miles and pays 176$. Find the amount of the fee and the cost per mile.

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Answer provided by our tutors

Carrie drives 150 miles and pays $215 means:

x + 150y = 215

Dave drives 120 miles and pays 176$ means:

x + 120y = 176

We have the following system of equations:

x + 150y = 215

x + 120y = 176

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click here to see the system of equations solved for x and y

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x = $20

y = $1.30

The fee for the truck is $20.

The cost per mile is $1.30.