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South African Mathematics Olympiad First Round

South Africa algebra

Problem

One horse eats of a bale of hay and another horse eats of what is left. If both horses ate the same amount, the value of is

(A) (B) (C) (D) (E)
Solution
The second horse eats of and this is the same as : so is , i.e. .
Final answer
B

Techniques

FractionsSimple Equations