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Puzzle Details

If I buy a melon and a coconut, the cost will be £1.19.

If I buy a melon and a pineapple, the cost will be £1.45.

If I buy a coconut and a pineapple, the cost will be £1.40.

What are the individual prices?

Pineapple = 83p, coconut = 57p, melon = 62p.

If we assign the letters P, C and M to the fruits, and work in pence we have:

M + C = 119          (1)
M + P = 145          (2)
C + P = 140          (3)

Using (2) - (1) we have:

P - C = 26           (4)

And (3) + (4) gives:

2P = 166
P = 83

This can then be substituted back into (2) and (3). QED.

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