Hi,

re reply:  Great idea!

Yes, the "fraction" 1/33 says the oil is 1/33 of the entire mixture

The 2 gal mixture was 32 parts gasoline to 1 part oil. 

How much gasoline must be added to bring the mixture to 

40 parts gasoline and 1 part oil? 

(32:1 does not say there is 32% gas)

the Oil as a % is easier to work with: 1/33 0r 1/41

As You had let x represent gas added

   |Cross Multiplying to solve

 

   

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