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You are reading the website of the 2019 edition of the MathsBombe Competition, which ended on Sunday 28th April at 11:59 pm
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Puzzle 5

Following the failure of her popular yet unprofitable apple shop business, Hazel decides to turn her attention to citrus fruits. Having recently developed an interest in the number \(x\approx 1.47\) which satisfies \(x^3=x^2+1\), Hazel decides to introduce her own currency, with coins of value 1 pound, \(x\) pounds and \(x^2\) pounds. She further decides to price each piece of fruit as a power of \(x\).

The most expensive item of fruit in the shop, the blood orange, is priced at \(x^{20}\) pounds. How many coins must change hands for a customer to buy a blood orange?

Your answer:
No answers can currently be submitted as the competition is closed.
MathsBombe Competition 2019 is organised by the The School of Mathematics at the University of Manchester.
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