Question 1008600
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 50% hydrocarbons. In order to obtain 60 gallons of crude oil that is 30% hydrocarbons how many gallons of crude oil must be used from each of the two sources
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Using 2 equations::
Quantity:: t + f = 60 gallons
Oil equations: 0.25t + 0.50f = 0.30*60 oil
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Modify for eliminations::
25t + 25f = 25*60
25t + 50f = 30*60
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Subtract and solve for "f"::
25f = 5*60
f = 12 gallons (amt. of 50% hydro needed)
t = 60-12 = 48 gallons (amt. of 25% hydro needed)
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Cheers,
Stan H.
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first source = 
Second source =