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 130 gallons of crude oil that is 70% hydrocarbons, how many gallons of crude oil must be used from each of the two sources?

Question

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 130  gallons of crude oil that is 70% hydrocarbons, how many gallons of crude oil must be used from each of the two sources?

hero · Answer

x = 1st source
y = 2nd source

Total Gallons of Crude Oil:
x + y = 130

Percent of Hydrocarbons:
.65x + .90y = .70(130)

Solve the system