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South African Mathematics Olympiad First Round

South Africa algebra

Problem

All my Maths tests are out of the same total, and the average of my marks in the four tests so far is . What percentage do I need in a fifth test so that my overall average will be ?

(A) (B) (C) (D) (E)
Solution
Let the five marks be , , , and .

But , and so
Final answer
A

Techniques

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