SOLUTION: A forester mixes gasoline and oil to make 2 gallons of mixture for his two-cycle chain-saw engine. This mixture is 32 parts gasoline and 1 part two-cycle oil. How much gasoline mus

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Question 1174235: A forester mixes gasoline and oil to make 2 gallons of mixture for his two-cycle chain-saw engine. This mixture is 32 parts gasoline and 1 part two-cycle oil. How much gasoline must be added to bring the mixture to 40 parts gasoline and 1 part oil? Express your answer as a common fraction.
Answer by greenestamps(13198) About Me  (Show Source):
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2 gallons of mixture that is 32 parts gasoline to 1 part oil means 64/33 gallons of gas and 2/33 gallons of oil.

After x gallons of gas is added, that 2/33 gallons of oil is 1/41 of the mixture, which is a total of 2+x gallons:

2%2F33+=+%281%2F41%29%282%2Bx%29
%2841%2F1%29%282%2F33%29+=+2%2Bx
82%2F33+=+2%2Bx
x+=+82%2F33-2+=+82%2F33-66%2F33+=+16%2F33

ANSWER: 16/33 gallons of gas must be added to bring the mixture to 40 part gasoline and 1 part oil.