SOLUTION: A petroleum company has two different sources of crude oil. The first source provides crude oil that is 60% hydrocarbons, and the second one provides crude oil that is 85%hydrocarb

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Question 908463: A petroleum company has two different sources of crude oil. The first source provides crude oil that is 60% hydrocarbons, and the second one provides crude oil that is 85%hydrocarbons. In order to obtain 170 gallons of crude oil that is 65% hydrocarbons, how many gallons of crude oil must be used from each of the two sources?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!

a+b=170,
60*a+85*b=65*170
a=170-b
60*(170-b)+85*b=11050
10200-60b+85*b=11050
25*b=850
b=34
a=170-b
a=136 gal at 60%
b=34 gal at 85%
check
60*136+85*34=65*170
8160+2890=11050
11050=11050
ok