Question 975820: 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
140
gallons of crude oil that is
60%
hydrocarbons, how many gallons of crude oil must be used from each of the two sources?
Answer by stanbon(75887)   (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 140 gallons of crude oil that is 60% hydrocarbons, how many gallons of crude oil must be used from each of the two sources?
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Equation::
carbon + carbon = carbon
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0.50x + 0.75(140-x) = 0.60*140
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50x + 75*140 - 75x = 60*140
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-25x = -15*140
x = (3/5)140
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x = 3*28
x = 84 gallons (amt of 50% oil needed)
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140-x = 56 gallons (amt of 75% oil needed)
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Cheers,
Stan H.
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