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Algebra Difficulty 1.8 Junior Find the answer

Ann and Sue bought identical boxes of stationery. Ann used hers to write 11-sheet letters and Sue used hers to write 33-sheet letters.
Ann used all the envelopes and had 5050 sheets of paper left, while Sue used all of the sheets of paper and had 5050 envelopes left.
The number of sheets of paper in each box was

Pick one

Solution

Let SS be the number of sheets of paper and EE be the number of envelopes. We can write two equations:
SE=50S - E = 50
ES/3=50E - S/3 = 50
Solving yields (E,S)=(100,150).(E, S) = (100, 150).
The answer is (A).\textbf{(A)}.
-edited by coolmath34

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