SOLUTION: A petroleum company has two different sources of crude oil. The first source provides crude oil that is 50% hydrocarbons, and the second one provides crude oil that is 75% hydrocar

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Question 1025671: A petroleum company has two different sources of crude oil. The first source provides crude oil that is 50% hydrocarbons, and the second one provides crude oil that is 75% hydrocarbons. In order to obtain 60 gallons of crude oil that is 70% hydrocarbons, how many gallons of crude oil must be used from each of the two sources?
first source how many gallons?
second source how many gallons?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A petroleum company has two different sources of crude oil. The first source provides crude oil that is 50% hydrocarbons, and the second one provides crude oil that is 75% hydrocarbons. In order to obtain 60 gallons of crude oil that is 70% hydrocarbons, how many gallons of crude oil must be used from each of the two sources?
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Quantity:: f + s = 60 gallons
Hydro Eq:: 0.50f + 0.75s = 0.70*60
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50f + 50s = 50*60
50f + 75s = 70*60
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Subtract and solve for "s"::
25s = 20*60
s = (4/5)60
s = 48 gallons (amt. of 75% needed)
f = 12 gallons (amt. of 50% needed)
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Cheers,
Stan H.
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