a petroleum company has two different sources of crude oil.?
the first source provides crude oil that is 55% hydrocarbons.
The second one provides oil that is 95% hydrocarbons. In order to obtain 40 gallons of crude oil that is 90% hydrocarbons, how many gallons of crude oil must be used from each of the two sources?
May 20th, 2010 at 2:41 am
x = quantity needed of 55% hydrocarbons
y = quantity needed of 95% hydrocarbons
Two unknown values need two equations.
Total quantity :
x + y = 40
x = 40 – y
Concentration :
0.55x + 0.95y = 0.90*40 = 36
First equation into this one :
0.55(40 – y) + 0.95y = 36
22 – 0.55y + 0.95y = 36
0.95y – 0.55y = 36 – 22
0.40y = 14
y = 14 / 0.40
y = 35
Into first equation :
x = 40 – y
x = 40 – 35
x = 5
So the mix will be :
5 gallons of crude oil at 55% hydrocarbons
35 gallons of crude oil at 95% hydrocarbons
PROOF :
k
0.55(5) + 0.95(35) = 36
2.75 + 33.25 = 36
36 = 36