SOLUTION: If I have one type of oil with 35% hydrocarbons and a second type of oil with 85% hydrocarbons, how much of each type of oil would I need to get 130 gallons of oil with 55% hydroca

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: If I have one type of oil with 35% hydrocarbons and a second type of oil with 85% hydrocarbons, how much of each type of oil would I need to get 130 gallons of oil with 55% hydroca      Log On


   

Question 517618: If I have one type of oil with 35% hydrocarbons and a second type of oil with 85% hydrocarbons, how much of each type of oil would I need to get 130 gallons of oil with 55% hydrocarbons?
Answer by Maths68(1474) About Me  (Show Source):
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Solution A
Amount = x
Concentration =35% =0.35
Solution B
Amount = 130-x
Concentration =85% = 0.85
Final Solution
Amount =130
Concentration =55%=0.55
[Amount Solution A * Concentration A] + [Amount Solution B * Concentration of B] = Amount of Final * Concentration of Final
0.35x+(130-x)0.85=130*0.55
0.35x+110.5-0.85x=71.5
-0.5x=71.5-110.5
-0.5x=-39
-0.5x/-0.5=-39/-0.5
x=78
Solution A
Amount = 78 gallons
Concentration =35% =0.35
Solution B
Amount = 130-x=130-78=52 gallons
Concentration =85% = 0.85
We have to mix 78 gallons of of oil with 35% hydrocarbons and 52 gallons of oil with 85% hydrocarbons to get 130 gallons of oil with 55% hydrocarbons.