## how many gallons of crude oil must be used from each of the two sources?

A petroleum company has two different sources of crude oil. The first source provides crude oil that is 35% hydrocarbons, and the second one provides crude oil that is 85% hydrocarbons. In order to obtain 130 gallons of crude oil that is 55% hydrocarbons, how many gallons of crude oil must be used from each of the two sources?

October 24th, 2010 at 12:18 am

v gallons from A with 0.35 of each gallon as HC

130 – v gallons from B with 0.85 of each gallon as HC

0.35 v + 0.85(130 – v) = 0.55 * 130 = 71.5

v = 78 galls from A, so 52 from B

Check: 78 *.35 + 52* .85 = 71.5

Regards – Ian

October 24th, 2010 at 12:18 am

130(55) = 85(x gallons) + 35( 130 – x )……7150 = 85x + 4550 – 35x

7150 – 4550 = 85x – 35x………2600 = 50x……..x = 2600/50 = 52

…………………………….52 gallons of 85%…………… 78 gallons at 35 %