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Terry drove along a scenic road using 9 gallons of gasoline. Then Terry went onto the freeway and used 17 gallons of gasoline. Assuming that Terry gets 6.5 miles per gallon better gas mileage on the freeway than on the scenic road, and Terry’s average gas mileage for the entire trip was 30 miles per gallon, find the number of miles Terry drove.

 Mar 8, 2020
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Hmmmmmm.....   average m/g = 30 m/g      and   g = 26

   then    26 g * 30 m/g = 780 miles  

 

 

Here is the long way:

 

Looking for miles

 

30 m/g  * (17+9) g    = miles total  =       17 g  * (x+6.5 )  m/g    +  9 g * x m/g

 

30 ( 26)    =  17 (x+ 6.5) + 9x

 

780 = 17x + 110.5  + 9x

780 - 110.5 = 26x

669.5 = 26x

x = 25.75 m/g                         17 (25.75 +6.5)  + 9(25.75)  = 780 m
 

 Mar 8, 2020

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