Solve the Problem Below by Setting Up and Solving a System

Solve the problem below by setting up and solving a system of two linear equations in two variables. A 14% salt solution is to be mixed with a 18% salt solution to produce 10 gallons of a 16.8% salt solution. How many gallons of the 14% solution and how many gallons of the 18% solution will be needed?

A) 7 gallons of 14% and 11 gallons of 18%
B) 5 gallons of 14% and 9 gallons of 18%
C) 14 gallons of 14% and 18 gallons of 18%
D) 3 gallons of 14% and 7 gallons of 18%
E) 16 gallons of 14% and 20 gallons of 18%

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