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Box of marbles

Source: 2014-2015 SDML Middle School 1a Problem 3

August 28, 2016

Problem Statement

In a box of 100100 marbles, just 3%3\% of the marbles are purple and the rest are green. How many green marbles must be removed from the box so that 95%95\% of the remaining marbles are green?
(A) 2(B) 15(C) 37(D) 40(E) 57\text{(A) }2\qquad\text{(B) }15\qquad\text{(C) }37\qquad\text{(D) }40\qquad\text{(E) }57