A 16 kg sample of a certain alloy (mixture of metals) contains 4 kg of tin and 12 kg of copper. A chemist decides to study the properties of the alloy as its percentage of tin is varied. Suppose x represents the quantity of tin, in kg, the chemist adds to the sample. Let represent the fraction of the mixture's mass composed of tin--that is, the ratio of the tin's mass to the mixture's total mass. A negative value of x represents a quantity of tin removed from the original 16 kg sample
. = ______ (kg tin)/(kg mixture). Round to 2 decimal places.
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