## 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?

Puzzle Copyright © Kevin Stone

hint
answer

**Hint:** A little algebra might help.

**Answer:**

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).

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