SOLUTION: A petroleum company has two different sources of crude oil. The first source provides crude oil that is 25% hydrocarbons, and the second one provides crude oil that is 75% hydroc

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Question 611248: A petroleum company has two different sources of crude oil. The first source provides crude oil that is 25% hydrocarbons, and the second one provides crude oil that is 75% hydrocarbons. In order to obtain 50 gallons of crude oil that is 55% hydrocarbons, how many gallons of crude oil must be used from each of the two sources?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The first source provides crude oil that is 25% hydrocarbons, and the second one provides crude oil that is 75% hydrocarbons. In order to obtain 50 gallons of crude oil that is 55% hydrocarbons, how many gallons of crude oil must be used from each of the two sources?
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Equation:
hydro + hydro = hydro
0.25x + 0.75(50-x) = 0.55*50
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25x + 75*50 - 75*x = 55*50
-50x = -20*50
x = 20 gallons (amt. of 25% oil needed)
50-x = 30 gallons (amt. of 75% oil needed)
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Cheers,
Stan H.
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