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

If you need immediate math help from PAID TUTORS right now, click here. (paid link)
Click here to see ALL problems on Mixture Word Problems

Question 167370: 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 part gasoline and 1 part oil?
I tried to make a chart to list everything I knew from the problem and see how I could solve it, but I'm not sure where to start from.
Answer by ptaylor(2048) (Show Source):
You can put this solution on YOUR website!
Let x=amount of gas that needs to be added
Now we know that the amount of oil in the 32-1 mixture is the same as the amount of oil in the 40-1 mixture (since we neither add or take away any oil); so:
2*(1/32)=1/40(2+x) get rid of parens
1/16=1/20 + x/40 (LCD=80) multiply each term by 80
5=4+2x subtract 4 from each side
5-4=2x divide by 2
x=1/2 gal amount of gas that needs to be added
CK
(1/32)*2=(1/40)*2.5
1/16=1/16
Hope this helps------ptaylor