Question 1196509
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Best rentals charges a daily fee plus a milage fee for renting its cars.  
Mateo was charged $111.00 for 3 days and 300 miles, while Dara was charged $207.00 for 5 days and 600 miles.  
What does Best Rentals charge per day and per mile?
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<pre>
x = charge per day

y = charge per mile.


The problem is described by the system of 2 equations in 2 unknowns

    3x + 300y = 111   (1)    (Mateo case)

    5x + 600y = 207   (2)    (Dara case)


To solve, multiply equation (1) by 2; keep equation (2) as is.  You will get

    6x + 600y = 222   (3)    

    5x + 600y = 207   (4)  


Now subtract equation (4) from equation (3).  You will get

     x        = 222 - 207 = 15     (the terms with y will cancel each other).


Thus charge per day is 15 dollars.                   <<<---===   <U>ANSWER</U>


Now from equation (1)

    3*15 + 300*y = 111,


which gives

    300y = 111 - 45 = 66,   y = 66/300 = 22/100 = 0.22.


So, charge per 1 mile is $0.22, or 22 cents.         <<<---===   <U>ANSWER</U>
</pre>

Solved.