Problema Solution
A petroleum company has two different sources of crude oil. The first source provides crude oil that is 65% hydrocarbons, and the second one provides crude oil that is 90% hydrocarbons. In order to obtain 40 gallons of crude oil that is 85% hydrocarbons, how many gallons of crude oil must be used from each of the two sources?
Answer provided by our tutors
let
x = gallons crude oil that is 65% hydrocarbons
y = gallons crude oil that is 90% hydrocarbons
we need to obtain 40 gallons
x + y = 40
65% of x hydrocarbons + 90% of y hydrocarbons = 85% of 40 hydrocarbons
0.65*x + 0.9*y = 0.85*40
by solving the system of equations
x + y = 40
0.65*x + 0.9*y = 0.85*40
we find
x = 8 gallons
y = 32 gallons
we must use 8 gallons of crude oil that is 65% hydrocarbons and 32 gallons of crude oil that is 90% hydrocarbons.