Question 453176: could you show me how to solve this problem step by step. I have another one close to this one for my homework, and I want to learn how to do these.
Wildcat Oil Company has two refineries, one located in Houston and the other in Tulsa, which produce a total of 1,600,000 gallons of petroleum per year. The Houston refinery ships 60% of its petroleum to the chicago gas company, while the Tulsa refinery ships 30% of it petroleum to the same chicago gas company. Assume that over the year, the Chicago gas company received 690,000 gallons of petroleum. How many gallons of petroleum were produced at each of Wildcat's refineries?
Answer by pedjajov(51)   (Show Source):
You can put this solution on YOUR website! Let's mark some variables:
:
H - petroleum produced in Houston refinery
T - petroleum produced in Tulsa refinery
C - petroleum received by Chicago gas company
W - total petroleum of WildCat Oil Company
:
Now we have that 60%=60/100 of Houston and 40%=40/100 of Tulsa petroleum makes 690,000 gallons Chicago received:
:
H*60/100 + T*30/100 = 690000
:
We laso have that total WildCat production consists of productions from Houston and Tulsa:
:
H+T=1,600,000
:
We have two equations with two variables:
H*60/100 + T*30/100 = 690,000, multiply by 100
H+T=1,600,000
:
60H+30T=69,000,000
H+T=1,600,000, solve by H -> H=1600000-T
:
Substitute H in first equation:
60(1,600,000-T)+30T=69,000,000
96,000,000-60T+30T=69,000,000
30T=27,000,000
T=900,000 gallons, this is production in Tulsa
:
H=1,600,000-T
H=1,600,000-900,000
H=700,000 gallons, this is production in Houston
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