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Problem 653

AMC 10/12, early questions

Number theory Difficulty 3.0 Prove it CEMC Galois · Canada · 2004

The Galois Group is giving out four types of prizes, valued at $5, $25, $125 and $625. The Group gives out at least one of each type of prize. If five prizes are given out with a total value of $905, how many of each type of prize is given out? Explain how you got your answer.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project. Solutions are the publisher's, linked not copied.