Let x = # pairs Gauss Jordans, y = # pairs Roebecks, and z = # pairs K Scottish.

The statement "The team went through a total of 120 pairs" tells us that

- x + y + z = 120.

The statement that the total cost was $5,700 tells us that

- 50x + 50y + 45z = 5,700.

Finally, we are told that "The team went through as many pairs of Gauss Jordans as Roebecks." In other words,

- x = y, or x - y = 0.

Solving the system of the above three equations in three unknowns gives the solution:

- x = 30, y = 30, z = 60.

Thus the team used 30 pairs of Gauss Jordans, 30 pairs of Roebecks, and 60 pairs of K Scottish

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