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?

2 Responses to “how many gallons of crude oil must be used from each of the two sources?”

  1. Ian Says:

    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

  2. a Says:

    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 %