Quantity A	Quantity B
The average (arithmetic mean) cost per hinge for 16 hinges that cost a total of 2p cents	The average (arithmetic mean) cost per hinge for 4 hinges that cost a total of \(\frac{p}{2}\) cents

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.


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Sandy
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Explanation

Plug in a value for p. Try p = 16: In Quantity A, then 16 hinges cost a total of 32 cents, for an average cost of 2 cents per hinge; in Quantity B, 4 hinges cost a total of 8 cents, for, again, an average cost of 2 cents per hinge.

The quantities are equal, so eliminate choices (A) and (B). Any value for p will yield the same results: The quantities will always equal; the
answer is choice C.
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Sandy
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