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Answer:
16 of the 28,000 gallon tanks
6 of the 14,000 gallon tanks
4 of the 7000 gallon tanks
Step-by-step explanation:
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The tank should be leased by each quantity by 4 tank cars of 7000 gallons , 6 tank cars of 14000 gallons and 16 tank cars of 28000 gallons .
What is elimination method?
In the elimination method, we eliminate any one of the variables by using basic arithmetic operations and then simplify the equation to find the value of the other variable. Then we can put that value in any of the equations to find the value of the variable eliminated.
According to the question
Let Tank cars of 7000 gallons = x
Let Tank cars of 14000 gallons = y
Let Tank cars of 28000 gallons = z
A chemical manufacturer wants to lease a fleet of 26 railroad tank cars with a combined carrying capacity of 560,000 gallons.
i.e ,
x + y + z = 26 ---------------------------------------(1)
and
7000x + 14000y + 28000z = 560000
x + 2y + 4z = 80 --------------------------------(2)
Now , solving equation (1) and (2) by elimination method
x = 4
y = 6
z = 16
Hence, The tank should be leased by each quantity by 4 tank cars of 7000 gallons , 6 tank cars of 14000 gallons and 16 tank cars of 28000 gallons .
To know more about elimination method here:
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