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imc

prealgebra junior

Problem

A box contains a collection of triangular and square tiles. There are tiles in the box, containing edges total. How many square tiles are there in the box?
(A)
(B)
(C)
(D)
Solution
Let be the amount of triangular tiles and be the amount of square tiles. Triangles have edges and squares have edges, so we have a system of equations. We have tiles total, so . We have edges total, so . Multiplying the first equation by on both sides gives . Second equation minus the first equation gives , so the answer is .
Final answer
D