You are given a sample that contains a mixture of the following two arsenic-containing minerals: duranosite (As₄S) and orpiment (As₂S₃). You start with a sample of this mixture that has a mass of 89.89 grams. You perform a reaction that converts the arsenic (As) in these minerals into the form calcium arsenate (Ca₃(AsO₄)₂, and 182.6 grams of this product are obtained.
What is the percent by mass of duranosite in the original sample?