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Word problem on stamp collection

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A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps. The total value of all the stamps is $2.47. Find the number of 8 cent stamps in the collection. [Fifteen points for the correct algebra equation and five points for solving the equation.

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This solution uses the system of linear equations to solve the problem. A step-by-step detailed solution is provided to explain the concept of system of linear equations and for the problem.

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