Question 453176
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