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Puzzle ZNTM 



?

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?

Puzzle Copyright © Kevin Stone

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

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

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

Using (2) - (1) we have:

(4)   P - C = 26

And (3) + (4) gives:

         2P = 166
          P = 83

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

 

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